Adding, Subtracting, and Multiplying Polynomials (1.7.2)

Question 1

Adding Polynomials

Answer 1

Adding Polynomials means that you combine all like terms.

Question 2

Like terms

Answer 2

Like terms are either those which have the same variables to the same degree, or the constants.

Question 3

Subtracting polynomials

Answer 3

Subtracting polynomials is the same as adding except that the negative sign preceding the second polynomial changes every sign in that polynomial before you combine like terms.

Question 4

FOIL:

Answer 4

FOIL: A technique for multiplying binomials that is based on the distributive property.
• F – multiply the first terms in each binomial.
• O – multiply the outer terms in each binomial.
• I – multiply the inner terms in each binomial.
• L – multiply the last terms in each binomial.