https://or.khanacademy.org/math/class-9-algebra-od/x46dfd2740ea2b9e7:algebraic-expression-and-identities/x46dfd2740ea2b9e7:classification-of-polynomials/v/polynomials-intro 2026-01-21T10:37:45.229353588Z ପଲିନୋମିଆଲ୍‌ର ପରିଚୟ This introduction to polynomials covers common terminology like terms, degree, standard form, monomial, binomial and trinomial. Polynomials are sums of terms of the form k⋅xⁿ, where k is any number and n is a non-negative integer. For example, 3x+2x-5 is a polynomial.  1. Hello Fren video https://cdn.kastatic.org/ka_thumbnails_cache/91aa542f-c981-4cbf-a28f-1ed4953978dc_1280_720_base.png ପଲିନୋମିଆଲ୍‌ର ପରିଚୟ This introduction to polynomials covers common terminology like terms, degree, standard form, monomial, binomial and trinomial. Polynomials are sums of terms of the form k⋅xⁿ, where k is any number and n is a non-negative integer. For example, 3x+2x-5 is a polynomial.  https://cdn.kastatic.org/ka-youtube-converted/v63C16L4IrM.mp4/v63C16L4IrM.mp4 648 ବୀଜଗାଣିତିକ ପରିପ୍ରକାଶ ଓ ଅଭେଦ https://or.khanacademy.org/math/class-9-algebra-od/x46dfd2740ea2b9e7:algebraic-expression-and-identities/x46dfd2740ea2b9e7:polynomials-in-more-than-one-variable/e/types-of-polynomial-1 2025-12-30T16:16:26.535834007Z ଘାତ ଆଧାରରେ ବହୁପଦ ବା ପଲିନୋମିଆଲଗୁଡ଼ିକୁ ବର୍ଗୀକରଣ କରନ୍ତୁ ଘାତ ଆଧାରରେ ବହୁପଦ ବା ପଲିନୋମିଆଲଗୁଡ଼ିକୁ ବର୍ଗୀକରଣ କରନ୍ତୁ ashish exercise https://or.khanacademy.org/math/class-9-algebra-od/x46dfd2740ea2b9e7:algebraic-expression-and-identities/x46dfd2740ea2b9e7:polynomials-in-more-than-one-variable/e/terms-of-a-polynomial 2026-03-07T15:31:22.72171507Z ଏକ ପଲିନୋମିଆଲର ପଦ ଏବଂ ସହଗ ଖୋଜିବା ଏକ ପଲିନୋମିଆଲର ପଦ ଏବଂ ସହଗ ଖୋଜିବା ashish exercise https://or.khanacademy.org/math/class-9-algebra-od/x46dfd2740ea2b9e7:algebraic-expression-and-identities/x46dfd2740ea2b9e7:polynomials-in-more-than-one-variable/e/types-of-polynomial-2 2026-03-07T15:31:22.72171507Z ପଦ ଆଧାରରେ ପଲିନୋମିଆଲଗୁଡ଼ିକୁ ବର୍ଗୀକରଣ କରିବା ପଦ ଆଧାରରେ ପଲିନୋମିଆଲଗୁଡ଼ିକୁ ବର୍ଗୀକରଣ କରିବା ashish exercise https://or.khanacademy.org/math/class-8-od/x97648b3e69d960e3:algebraic-expressions-and-identities-odia-class-8/x97648b3e69d960e3:polynomials-odia-class-8/e/algebraic-expressions-6-b 2025-04-09T04:44:00.879271464Z ସଦୃଶ ପଦ ଓ ଅସଦୃଶ ପଦ ବୀଜଗାଣିତିକ ପରିପ୍ରକାଶ ashish exercise https://or.khanacademy.org/math/nas-math/xd4105b9f1a0cf9f0:class-9/xd4105b9f1a0cf9f0:algebra/v/adding-and-subtracting-polynomials-1 2024-01-25T18:58:22.456454685Z ପଲିନୋମିଆଲ୍‌ର ଯୋଗଫଳ Learn how to simplify polynomials by combining like terms! Discover the power of adding and subtracting terms with the same degree of x. Uncover the magic of removing parentheses and grouping similar terms together to simplify complex expressions. Master the art of polynomial simplification! Sal Khan video https://cdn.kastatic.org/googleusercontent/P52_7TkuPy7FOhq7-OePwtVYkcBA9-pAdD1w7Uvek40918VCfTIlt6TgXnQzEE4212lDDjIebIeAbdfvLzdkO0lq ପଲିନୋମିଆଲ୍‌ର ଯୋଗଫଳ Learn how to simplify polynomials by combining like terms! Discover the power of adding and subtracting terms with the same degree of x. Uncover the magic of removing parentheses and grouping similar terms together to simplify complex expressions. Master the art of polynomial simplification! https://cdn.kastatic.org/ka-youtube-converted/6qK4nc_AzPY.mp4/6qK4nc_AzPY.mp4 121 ବୀଜଗାଣିତିକ ପରିପ୍ରକାଶ ଓ ଅଭେଦ https://or.khanacademy.org/math/class-7-od/x48ac5f37f7da7ee1:algebra-odia-class-7/x48ac5f37f7da7ee1:addition-and-subtraction-of-algebraic-expressions-odia-class-7/e/adding_and_subtracting_polynomials 2025-04-09T04:49:45.352849117Z ପଲିନୋମିଆଲ୍‌ର ଯୋଗ (ପରିଚୟ) Example: Add (2x²-3) and (7x³-4x+1). Tomer Gal exercise https://or.khanacademy.org/math/class-8-od/x97648b3e69d960e3:algebraic-expressions-and-identities-odia-class-8/x97648b3e69d960e3:addition-and-subtraction-of-algebraic-expressions-odia-class-8/v/subtracting-polynomials-and-closure 2025-12-08T07:11:09.434127184Z ପଲିନୋମିଆଲ୍‌ର ଵିୟୋଗଫଳ Learn how to subtract polynomials. Discover how distributing a negative sign changes the signs of all terms in a polynomial. Understand that when you subtract polynomials, you still get a polynomial, showing that the set of polynomials is 'closed' under subtraction. video https://cdn.kastatic.org/ka_thumbnails_cache/c4563f26-596b-4259-87df-b2c60eaf80ea_1280_720_base.png ପଲିନୋମିଆଲ୍‌ର ଵିୟୋଗଫଳ Learn how to subtract polynomials. Discover how distributing a negative sign changes the signs of all terms in a polynomial. Understand that when you subtract polynomials, you still get a polynomial, showing that the set of polynomials is 'closed' under subtraction. https://cdn.kastatic.org/ka-youtube-converted/u0WJPn3j0po.mp4/u0WJPn3j0po.mp4 170 ବୀଜଗାଣିତିକ ପରିପ୍ରକାଶ ଓ ଅଭେଦ https://or.khanacademy.org/math/class-7-od/x48ac5f37f7da7ee1:algebra-odia-class-7/x48ac5f37f7da7ee1:addition-and-subtraction-of-algebraic-expressions-odia-class-7/e/subtract-polynomials 2025-07-05T05:31:55.787671777Z ପଲିନୋମିଆଲ୍‌ର ବିୟୋଗ (ପରିଚୟ) Example: Evaluate (4x²-3) - (3x³-3x+2). Tomer Gal exercise https://or.khanacademy.org/math/class-9-algebra-od/x46dfd2740ea2b9e7:algebraic-expression-and-identities/x46dfd2740ea2b9e7:multiplying-monomials/v/multiply-monomials-intro 2024-01-25T18:58:22.456454685Z ମନୋମିଆଲ୍‌ର ଗୁଣନ Learn how to multiply monomials like a pro! Discover how to multiply numbers and variables separately, then combine them for the final answer. Explore how exponent properties come into play when multiplying variables. Dive into examples with different variables for variety. video https://cdn.kastatic.org/ka_thumbnails_cache/5bbc3cb7-ec07-4772-bb7d-ed56cfeaa9e1_1280_720_base.png ମନୋମିଆଲ୍‌ର ଗୁଣନ Learn how to multiply monomials like a pro! Discover how to multiply numbers and variables separately, then combine them for the final answer. Explore how exponent properties come into play when multiplying variables. Dive into examples with different variables for variety. https://cdn.kastatic.org/ka-youtube-converted/PU94xsQlH8c.mp4/PU94xsQlH8c.mp4 196 ବୀଜଗାଣିତିକ ପରିପ୍ରକାଶ ଓ ଅଭେଦ https://or.khanacademy.org/math/class-9-algebra-od/x46dfd2740ea2b9e7:algebraic-expression-and-identities/x46dfd2740ea2b9e7:multiplying-monomials/e/finding-the-product-of-two-monomials 2025-02-03T14:16:51.01439851Z ମନୋମିଆଲ୍‌ର ଗୁଣନ ଏକକ ମୋନୋମିଆଲ ଭାବରେ ଦୁଇଟି ମୋନୋମିଆଲ ଅଭିବ୍ୟକ୍ତିର ଉତ୍ପାଦକୁ ପ୍ରକାଶ କର Tomer Gal exercise https://or.khanacademy.org/math/class-8-od/x97648b3e69d960e3:algebraic-expressions-and-identities-odia-class-8/x97648b3e69d960e3:multiplying-monomials-by-monomials-odia-class-8/e/multiply-monomials-challenge 2026-01-21T17:16:41.303932255Z ମନୋମିଆଲ୍‌ର ଗୁଣନ (ଅତିରିକ୍ତ ପ୍ରଶ୍ନ) More challenging multiplying monomial problems like find the area or find missing values to make an equation true. Tomer Gal exercise https://or.khanacademy.org/math/class-9-algebra-od/x46dfd2740ea2b9e7:algebraic-expression-and-identities/x46dfd2740ea2b9e7:multiplying-monomials/v/multiplying-monomials-by-polynomials 2024-01-25T18:58:22.456454685Z ମନୋମିଆଲର ପଲିନୋମିଆଲ ସହ ଗୁଣନ Discover how to multiply monomials by polynomials using the distributive property. Learn to simplify expressions by multiplying coefficients and adding exponents. Get a handle on negative terms and see how they affect the final result. It's all about breaking down complex problems into simpler steps! Sal Khan video https://cdn.kastatic.org/googleusercontent/36lIyUQRFUt_s7RG9QyVMHhVvipyJ0bxeT77Fgf9KIkaSTjCkOrXGOad8iecfZoqJOPQh5MazVHHf9RIa66Rp3-8 ମନୋମିଆଲର ପଲିନୋମିଆଲ ସହ ଗୁଣନ Discover how to multiply monomials by polynomials using the distributive property. Learn to simplify expressions by multiplying coefficients and adding exponents. Get a handle on negative terms and see how they affect the final result. It's all about breaking down complex problems into simpler steps! https://cdn.kastatic.org/ka-youtube-converted/COVDT2Q-giE.mp4/COVDT2Q-giE.mp4 163 ବୀଜଗାଣିତିକ ପରିପ୍ରକାଶ ଓ ଅଭେଦ https://or.khanacademy.org/math/class-9-algebra-od/x46dfd2740ea2b9e7:algebraic-expression-and-identities/x46dfd2740ea2b9e7:multiplying-monomials/e/finding-the-product-of-a-monomial-and-a-polynomial 2025-02-03T14:16:51.01439851Z ବହୁପଦ ଦ୍ୱାରା ମୋନୋମିଆଲକୁ ଗୁଣିତ କରନ୍ତୁ ଏକ ମୋନୋମିଆଲ୍ ଏବଂ ଏକ ବହୁପଦର ଉତ୍ପାଦକୁ ଏକକ ବହୁପଦ ଭାବରେ ପ୍ରକାଶ କରିବାକୁ ବିତରଣ ସମ୍ପତ୍ତି ବ୍ୟବହାର କରନ୍ତୁ। Tomer Gal exercise https://or.khanacademy.org/math/class-8-od/x97648b3e69d960e3:algebraic-expressions-and-identities-odia-class-8/x97648b3e69d960e3:multiplying-monomials-by-polynomials-odia-class-8/e/multiply-monomials-by-polynomials-challenge 2026-01-21T17:16:41.303932255Z ପଲିନୋମିଆଲ୍ ଦ୍ୱାରା ମୋନୋମିଆଲର ଗୁଣନ କରିବା Example: Find the values of the variables to make the following equation true -11(y²-cy+2) = dy²+33y-f. Tomer Gal exercise https://or.khanacademy.org/math/class-9-algebra-od/x46dfd2740ea2b9e7:algebraic-expression-and-identities/x46dfd2740ea2b9e7:multiplying-polynomials/v/multiplying-simple-binomials 2024-01-25T18:58:22.456454685Z ପଲିନୋମିଆଲ୍‌ର ଗୁଣଫଳ Sal expresses (x-4)(x+7) as the standard trinomial x²+3x-28 and discusses how the general product (x+a)(x+b) can be written as x²+(a+b)x+a*b. video https://cdn.kastatic.org/ka_thumbnails_cache/e3c9b896-8877-424f-a62d-497aea62ae28_1280_720_base.png ପଲିନୋମିଆଲ୍‌ର ଗୁଣଫଳ Sal expresses (x-4)(x+7) as the standard trinomial x²+3x-28 and discusses how the general product (x+a)(x+b) can be written as x²+(a+b)x+a*b. https://cdn.kastatic.org/ka-youtube-converted/zY9Z01JLMzY.mp4/zY9Z01JLMzY.mp4 287 ବୀଜଗାଣିତିକ ପରିପ୍ରକାଶ ଓ ଅଭେଦ https://or.khanacademy.org/math/class-9-algebra-od/x46dfd2740ea2b9e7:algebraic-expression-and-identities/x46dfd2740ea2b9e7:multiplying-polynomials/e/multiplying_expressions_0.5 2025-02-03T14:16:51.01439851Z ବାଇନୋମିଆଲର ଗୁଣନର ପରିଚୟ Use the distributive property to express the product of two binomials as a single polynomial. Tomer Gal exercise https://or.khanacademy.org/math/in-class-9-math-foundation/x6e1f683b39f990be:algebraic-expressions/x6e1f683b39f990be:multiplying-polynomials/e/multiply-binomials-coefficient 2025-11-03T11:58:03.540721465Z ବାଇନୋମିଆଲ୍‌ର ଗୁଣନ Multiply binomials of the form (ax + b). Tomer Gal exercise https://or.khanacademy.org/math/class-9-algebra-od/x46dfd2740ea2b9e7:algebraic-expression-and-identities/x46dfd2740ea2b9e7:multiplying-polynomials/e/multiplying_polynomials 2025-04-09T06:43:10.482204649Z ବହୁପଦ ବା ପଲିନୋମିଆଲ ଦ୍ୱାରା ମୋନୋମିଆଲର ଗୁଣନ ଏକ ମୋନୋମିଆଲ୍ ଏବଂ ଏକ ବହୁପଦର ଉତ୍ପାଦକୁ ଏକକ ବହୁପଦ ଭାବରେ ପ୍ରକାଶ କରିବାକୁ ବିତରଣ ସମ୍ପତ୍ତି ବ୍ୟବହାର କରନ୍ତୁ। Tomer Gal exercise https://or.khanacademy.org/math/class-8-od/x97648b3e69d960e3:algebraic-expressions-and-identities-odia-class-8/x97648b3e69d960e3:division-of-polynomials-odia-class-8/e/poly-by-x-no-remainders 2025-01-16T03:24:20.60689509Z x ଦ୍ୱାରା ପଲିନୋମିଆଲ୍‌ର ଭାଗକ୍ରିୟା (ଭାଗଶେଷ ନଥିବା) Divide polynomials by x, where the polynomial is divisible by x, so the result is also a polynomial (no remainder). Tomer Gal exercise https://or.khanacademy.org/math/class-8-od/x97648b3e69d960e3:algebraic-expressions-and-identities-odia-class-8/x97648b3e69d960e3:division-of-polynomials-odia-class-8/v/polynomial-divided-by-monomial 2025-01-16T03:24:20.60689509Z x ଦ୍ୱାରା ପଲିନୋମିଆଲ୍‌ର ଭାଗକ୍ରିୟା (ଭାଗଶେଷ ଥିବା) Learn how to simplify complex expressions by dividing polynomials by 'x'. Discover how to break down the numerator, distribute the division, and use exponent properties. Master the art of simplifying fractions and handling negative exponents. Sal demonstrates by dividing (18x^4-3x^2+6x-4) by 6x. Sal Khan video https://cdn.kastatic.org/googleusercontent/FcLH3B5W9yl5YpqzmJuJYeSl4Ar6aDjlIPhcJz4MhXIA4zm4A9XipjBDkurBQgJE2FKFZk0QW9QFmnm51LhEx3lB x ଦ୍ୱାରା ପଲିନୋମିଆଲ୍‌ର ଭାଗକ୍ରିୟା (ଭାଗଶେଷ ଥିବା) Learn how to simplify complex expressions by dividing polynomials by 'x'. Discover how to break down the numerator, distribute the division, and use exponent properties. Master the art of simplifying fractions and handling negative exponents. Sal demonstrates by dividing (18x^4-3x^2+6x-4) by 6x. https://cdn.kastatic.org/ka-youtube-converted/L3VgcmoFe2M.mp4/L3VgcmoFe2M.mp4 285 ବୀଜଗାଣିତିକ ପରିପ୍ରକାଶ ଓ ଅଭେଦ https://or.khanacademy.org/math/class-8-od/x97648b3e69d960e3:algebraic-expressions-and-identities-odia-class-8/x97648b3e69d960e3:division-of-polynomials-odia-class-8/e/poly-by-x-remainders 2025-01-16T03:24:20.60689509Z x ଦ୍ୱାରା ପଲିନୋମିଆଲ୍‌ର ଭାଗକ୍ରିୟା (ଭାଗଶେଷ ଥିବା) Divide polynomials by x, where the polynomial isn't divisible by x, so the result has a remainder. Tomer Gal exercise https://or.khanacademy.org/math/class-8-od/x97648b3e69d960e3:algebraic-expressions-and-identities-odia-class-8/x97648b3e69d960e3:long-division-method-of-polynomials-odia-class-8/e/long-division-method 2025-07-05T05:32:35.489152023Z ଦୀର୍ଘ ଭାଗକ୍ରିୟା ପଦ୍ଧତି ଦୀର୍ଘ ଭାଗକ୍ରିୟା ପଦ୍ଧତି Ashish Gupta exercise https://or.khanacademy.org/math/class-8-od/x97648b3e69d960e3:algebraic-expressions-and-identities-odia-class-8/x97648b3e69d960e3:identities-odia-class-8/e/product-of-expressions-and-identities-8-d 2025-04-09T06:43:10.482204649Z ଏକ ପରିପ୍ରକାଶ ଅଭେଦ କି ନୁହେଁ ଯାଞ୍ଚ କର Product of expressions and identities ashish exercise https://or.khanacademy.org/math/class-8-od/x97648b3e69d960e3:algebraic-expressions-and-identities-odia-class-8/x97648b3e69d960e3:identities-odia-class-8/e/polynomial-identities 2025-01-16T03:24:20.60689509Z ପଲିନୋମିଆଲ୍ ଅଭେଦ Determine whether given polynomial identities are true, and whether given proofs of such identities are valid. Tomer Gal exercise https://or.khanacademy.org/math/class-8-od/x97648b3e69d960e3:algebraic-expressions-and-identities-odia-class-8/x97648b3e69d960e3:various-identities-odia-class-8/e/product-of-expressions-and-identities-8-e 2025-04-09T06:43:10.482204649Z (a+b)² ଅଭେଦର ପ୍ରୟୋଗ Product of expressions and identities ashish exercise https://or.khanacademy.org/math/class-8-od/x97648b3e69d960e3:algebraic-expressions-and-identities-odia-class-8/x97648b3e69d960e3:various-identities-odia-class-8/e/product-of-expressions-and-identities-8-f 2025-04-09T06:43:10.482204649Z (a-b)² ଅଭେଦର ପ୍ରୟୋଗ Product of expressions and identities ashish exercise https://or.khanacademy.org/math/class-8-od/x97648b3e69d960e3:factorisation-odia-class-8/x97648b3e69d960e3:factorisation-using-different-identities-odia-class-8/v/difference-of-squares-intro 2025-01-16T03:24:20.60689509Z ବର୍ଗର ଅନ୍ତର ପରିଚୟ When an expression can be viewed as the difference of two perfect squares, i.e. a²-b², then we can factor it as (a+b)(a-b). For example, x²-25 can be factored as (x+5)(x-5). This method is based on the pattern (a+b)(a-b)=a²-b², which can be verified by expanding the parentheses in (a+b)(a-b). video https://cdn.kastatic.org/ka_thumbnails_cache/c52b1b59-e0b8-4b92-931b-13024c98d84f_1280_720_base.png ବର୍ଗର ଅନ୍ତର ପରିଚୟ When an expression can be viewed as the difference of two perfect squares, i.e. a²-b², then we can factor it as (a+b)(a-b). For example, x²-25 can be factored as (x+5)(x-5). This method is based on the pattern (a+b)(a-b)=a²-b², which can be verified by expanding the parentheses in (a+b)(a-b). https://cdn.kastatic.org/ka-youtube-converted/b8w0m1HSyVw.mp4/b8w0m1HSyVw.mp4 294 ବୀଜଗାଣିତିକ ପରିପ୍ରକାଶ ଓ ଅଭେଦ https://or.khanacademy.org/math/nas-math/xd4105b9f1a0cf9f0:class-9/xd4105b9f1a0cf9f0:algebra-identities/e/factoring_difference_of_squares_2 2025-04-09T06:43:10.482204649Z ବର୍ଗର ଅନ୍ତର ବର୍ଗର ଅନ୍ତର ରୂପରେ ଥିବା ଦ୍ୱିଘାତ ସମୀକରଣର ଉତ୍ପାଦକୀକରଣ କରିବା। Tomer Gal exercise https://or.khanacademy.org/math/class-8-od/x97648b3e69d960e3:algebraic-expressions-and-identities-odia-class-8/x97648b3e69d960e3:various-identities-odia-class-8/e/product-of-expressions-and-identities-8-g 2025-04-09T06:43:10.482204649Z (a+b)(a-b) ଅଭେଦର ପ୍ରୟୋଗ Product of expressions and identities ashish exercise https://or.khanacademy.org/math/class-8-od/x97648b3e69d960e3:algebraic-expressions-and-identities-odia-class-8/x97648b3e69d960e3:various-identities-odia-class-8/e/product-of-expressions-and-identities-8-h 2025-04-09T06:43:10.482204649Z ଅଭେଦ ବ୍ୟବହାର କରି ପରିପ୍ରକାଶର ମୂଲ୍ୟ ନିରୂପଣ କରିବା Product of expressions and identities ashish exercise https://or.khanacademy.org/math/class-8-od/x97648b3e69d960e3:algebraic-expressions-and-identities-odia-class-8/x97648b3e69d960e3:various-identities-odia-class-8/e/identities-4-c 2025-08-25T09:25:57.150027775Z (a+b+c)² ଅଭେଦର ପ୍ରୟୋଗ ଅଭେଦ ashish exercise