Warm up

Warm up What type of equation is this? Find f(2)

FOIL

Definition: Polynomial • An expression containing constants, variables and exponents. • Examples: • Each piece is called a “term”

Special Names • Monomial – Poly with ONE term Ex: • Binomial – Poly with TWO terms Ex: • Trinomial – Poly with THREE terms Ex:

Goal • We can add, subtract, multiply and divide these polynomials. • Today we are going to focus on how to MULTIPLY BINOMIALS.

What is FOIL The FOIL method is ONLY used when you multiply 2 binomials. It is an acronym that tells you which terms to multiply.

FOIL • F - first • O - outside • I - inside • L - last

Example 1 • Use the FOIL method to multiply the following binomials: (y + 3)(y + 7)

(y + 3)(y + 7). F tells you to multiply the FIRST terms of each binomial. y2

(y + 3)(y + 7). O tells you to multiply the OUTER terms of each binomial. y2+7y

(y + 3)(y + 7). I tells you to multiply the INNER terms of each binomial. y2 + 7y +3y

(y + 3)(y + 7). L tells you to multiply the LAST terms of each binomial. y2 + 7y + 3y + 21 Combine like terms. y2 + 10y + 21

Example 2

Example 3 • (2a – 3b)(2a + 4b) • Answer: 4a2 + 2ab – 12b2

Example 4: You try • (y + 4)(y – 3) • Answer:

Example 5: You try • Hint: Remember • Answer:

Example 6: You try • Answer:

Homework • FOIL Puzzle