# Multiplying Polynomials Answers and Explanations

## FOIL Method

Instructions:  Multiply.

01
of 05

## (x + 3)(x - 3)

(x + 3)(x - 3) = x2 + -9

1. Rewrite the minus sign.
(x + 3)(x + -3)
2. First. Outer. Inner. Last.
x
* x + x * -3 + 3 * x + 3 * -3
3. Multiply.
x2 + -3x + 3x + -9
4. Simplify.
x
2 + 0 + -9
x2 + -9
02
of 05

## (x - 6)(x + 4)

(x - 6)(x + 4) =  x2 + -2x + -24

1. Rewrite the minus sign.
(x + -6)(x + 4)
2.  First. Outer. Inner. Last.
x * x + x * 4 + -6 * x + -6 * 4
3. Multiply.
x2 + 4x + -6x + -24
4. Simplify.
x
2 + -2x + -24
03
of 05

## (x - 8)(x - 9)

(x - 8)(x - 9) = x2 + -17x + 72

1. Rewrite the minus signs.
(x + -8)(x + -9)
2. First. Outer. Inner. Last.
x * x + x * -9 + -8 * x + -8 * -9
3. Multiply.
x2 + -9x + -8x + 72
4. Simplify.
x2 + -17x + 72
04
of 05

## (5j + 11)(j + 1)

(5j + 11)(j + 1)=  5j2 + 16j + 11

1. First. Outer. Inner. Last.
5j * j + 5j * 1+ 11 * j + 11 * 1
2. Multiply.
5j2 + 5j + 11j + 11
3. Simplify.
5j2 + 16j + 11
05
of 05

## (5p - 7)(4p + 3)

(5p - 7)(4p + 3)= 20p2 + -13p + -21

1. Rewrite the minus sign.
(5p + -7)(4p + 3)
2. First. Outer. Inner. Last.
5p * 4p + 5p * 3 + -7 * 4p + -7 * 3
3. Multiply.
20p2 + 15p + -28p + -21
4. Simplify.
20p2 + -13p + -21