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Unformatted text preview: e terms The second term now has a variable, but it doesn't match the variable of the first term 4x and 3x2 NOT like terms The second term now has the same variable, but the degree is different 4x and 3x LIKE TERMS Now the variables match and the degrees match Add (5x3­2x2 + 9x – 3) + (­2x3 + 13x +5) = 3x3 – 2x2 + 22x + 2 Add (5ax2 ­2ax – 1) + (3ax2 – 5) = 8ax2 ­2ax – 6 Polynomials are added by adding the coefficients of the like terms. Polynomials are subtracted by adding the opposite of the subtracted polynomial. The opposite of a polynomial is the negative of each term in the polynomial. Opposite of (3x2 – 2x + 1 ) is ­3x2 + 2x ­ 1 Subtraction of Polynomials Subtract (9x3 – 2x2 + 3x + 1)­(3x3+4x2­2x + 3) (9x3 – 2x2 + 3x + 1)+(­3x3+­4x2 ­­2x +­3) =6x3 ­6x2 + 5x ­2 (­3x2 + 5xy) –(2x2 ­5xy + 6y2) (­3x2 + 5xy)+ (­ 2x2 ­­5xy + ­6y2) = ­5x2 + 10xy – 6y2 To multiply two monomials, we multiply their coefficients and we multiply their like variables using the rules of exponents and the commutative and associative laws. (­8x2y3)(2xy3) = (­8∙2)(x2x)(y3y3)=­16x3y6 Multiplication of Monomials The distributive law is required when we are multiplying polynomials other than two monomials: 2x(3x – 5) = 2x(3x) – 2x(5) = 6x2 – 10x 3a2b2(2a + 3b) = 3a2b2(2a) +3a2b2(3b)= = 6a3b2 ...
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This document was uploaded on 02/18/2014.

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