Multiplying Polynomials (F.O.I.L.)

Multiplying Polynomials (F.O.I.L.)

Multiply Polynomials

• When multiplying polynomials, remember the rules of exponents

• 1. when multiplying same bases, add exponents

• 2. when dividing same bases, subtract exponents

• 3. when raising a power to a power, multiply exponents

• 4. any number to the zero power is 1

Multiplying Polynomials by the F.O.I.L. Method

• F.O.I.L. stands for First Outside Inside and Last.

• It is not the same as rainbow. You do not distribute the terms in the first polynomial.

• Multiply FIRST terms; Multiply OUTSIDE terms; Multiply INSIDE terms; Multiply LAST termss.

Multiple Choice

Multiply:

(x+2)(x−2)

• x²−4x−4

• x²+4

• x²−4

• x²+4x−4

Multiple Choice

Multiply:

(2x−y)²

Hint: What does it mean to square a number or expression? Multiply it by itself.

• 4x²−4xy+y²

• 4x²+y²

• 4x²−y²

• 4x²+4xy+y²

Multiple Choice

Multiply:

(3a + 4)²

Hint: What does it mean to square a number or expression? Multiply it by itself.

• 6a²+12a+16

• 9a²+24a+16

• 9a²+12a+16

• 9a²+16

Multiple Choice

Find the product:
(4x+1)(5x−2)

• 20x² + 3x − 2
• 20x² − 11x + 5
• 20x² − 18x + 2
• 20x² − 3x − 2

Multiple Choice

Find the product:
(y - 3)(y + 7)

• y² - 21
• y² + 10x - 21
• y² + 4y - 21
• 2y - 10

Multiple Choice

Find the product:

(x + 5)(x - 4)

• x² + 9x + 20

• x² + 9x - 20

• x² + x - 20

• x² - x - 20