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 .
Example: Perform the addition
	Remove the parentheses and group like terms together Combine like terms. Don’t change variables or exponents . Answer.
Example: Perform the addition
	Remove the parentheses and group like terms together Combine like terms. Don’t change variables or exponents. 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.
Example: Perform the subtraction
	Create the negative of the second polynomial. Add, removing the parentheses and grouping like terms. Combine like terms. Answer.
Example: Perform the subtraction
	Create the negative of the second polynomial. Add, removing the parentheses and grouping like terms. Combine like terms. Answer.
Multiplication of Polynomials Multiplication of polynomials is done by repeated use of the distributed property . Multiplication of binomials (two-termed polynomials) is done using the FOIL method . FOIL is an acronym which stands for “first terms, outside terms, inside terms, last terms.”
Example: Perform the multiplication
	Multiply the first, outside, inside and last terms and add. Simplify. Combine like terms. Answer.
Example: Perform the multiplication
	Multiply the first, outside, inside and last terms and add. Simplify. Answer. There are no like terms to combine.
Example: Perform the multiplication
	Distribute each term in the first group with each
	term in the second and add the results together.

	Multiply.
	Group like terms together. Combine like terms.
	Answer.