# Sec-32 - Math 1300 Operations with Polynomials Section 3.2...

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Math 1300Section 3.2 Notes1Operations with PolynomialsAddition of PolynomialsThe sum of two polynomials is found by combining like terms.To add like terms, add thecoefficients and do not change the variable and exponents in common.Example:Perform the addition (2x7+ 9x3- 5) + (3x3+ 2x+ 14).(2x7+ 9x3- 5) + (3x3+ 2x+ 14)Remove the parentheses and group like terms together2x7+ 9x3+ 3x3+ 2x+ 14 - 5Combine like terms. Don’t change variables or exponents.2x7+ 12x3+ 2x+ 9Answer.Example:Perform the addition (2x3- 17x2- 5x) + (3x3-x+ 8).(2x3- 17x2- 5x) + (3x3-x+ 8)Remove the parentheses and group like terms together2x3+ 3x3- 17x2- 5x -x+ 8Combine like terms. Don’t change variables or exponents.5x3- 17x2- 6x + 8Answer.Subtraction of PolynomialsThe difference of two polynomials is found by adding the first polynomial to the negative of thesecond polynomial.The negativeof the second polynomial is found by changing the sign ofeach term of the polynomial.Example:Perform the subtraction (9x5+ 2x3- 1) - (2x3+ 4x- 4).(9x5

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