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FOUR OPERATION

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LEARNING OBJECTIVE

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Algebra is an important branch of mathematics it is used in Physics, Chemistry, Biology, Economics and Statistics these days. The Muslim mathematician did the spade work on this branch.

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Types of Algebraic Expression a) Involving only one term “monomial” e.g., (i) 2ab (ii) 4x ² b) Involving two or more terms or sum of two or more expression is know as “polynomial” e.g., (i)2x ² – 5 (ii)x ² + 4x - 3

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ADDITION OF POLYNOMIAL EXPRESSION

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EXAMPLE :- Subtract a ³-3a²b+3ab²-b³ from a³+3a²b-3ab²+b³ SOLUTION:- a³+3a² b-3ab²+b³ +a³-3a² b+3ab²-b³ - + - + 6a ²b-6ab²+2b³

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=(a ³+3a²b-3ab²+b³) – (a³-3a²b+3ab²-b³) = a³+3a²b-3ab²+b³-a³+3a²b-3ab²+b³ = a³-a³+3a²b+3a²b-3ab²-3ab²+b³+b³ = 6a²b-6ab²+2b³

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Find the product of (x+3) (3x ²+2x-6) Vertical form Solution: 3x²+2x – 6 x x +3 3x³+2x² - 6x +9x²+6x – 18 3x³+11x² - 18 or 3x³+11x² - 18

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Example: Divide x ²-5x+6 by x-2

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END

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8-1 Adding and Subtracting Polynomials. Degree of a monomial: is the sum of the exponents of its variables. The degree of a nonzero constant is 0. Zero.

8-1 Adding and Subtracting Polynomials. Degree of a monomial: is the sum of the exponents of its variables. The degree of a nonzero constant is 0. Zero.

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