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1300_section3o2

# 1300_section3o2 - Section 3.2 Operations with Polynomials...

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1 Section 3.2 - Operations with Polynomials Addition of Polynomials The sum of two polynomials is found by combining like terms. To add like terms, add the coefficients and do not change the variable and exponents in common. Examples: x x x 9 5 4 = , 2 2 2 7 5 2 x x x = + Example: Perform the addition (2 x 7 + 9 x 3 - 5) + (3 x 3 + 2 x + 14). (2 x 7 + 9 x 3 - 5) + (3 x 3 + 2 x + 14) Remove the parentheses and group like terms together 2 x 7 + 9 x 3 + 3 x 3 + 2 x + 14 - 5 Combine like terms. Don’t change variables or exponents. 2 x 7 + 12 x 3 + 2 x + 9 Answer. Example: Perform the addition (2 x 3 - 17 x 2 - 5x) + (3 x 3 - x + 8). (2 x 3 - 17 x 2 - 5x) + (3 x 3 - x + 8) Remove the parentheses and group like terms together 2 x 3 + 3 x 3 - 17 x 2 - 5x - x + 8 Combine like terms. Don’t change variables or exponents. 5 x 3 - 17 x 2 - 6x + 8 Answer. Subtraction of Polynomials The difference of two polynomials is found by adding the first polynomial to the negative of the second polynomial. The negative of the second polynomial is found by changing the sign of each term of the polynomial.

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1300_section3o2 - Section 3.2 Operations with Polynomials...

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