Multiply Polynomials and FOIL

Multiply: (x + 5)(x + 4)

• x² + x + 20

• x² + 20x + 9

• x² + 9x + 20

• x² - 9x + 54

You can FOIL to multiply polynomials...

• When you have 2 binomials

• Any time

• When you have a monomial

• When you have only 1 binomial

How can you rewrite (2x+3)² to multiply easier?

• 4x²+9

• (2x+3)(2x+3)

• 4x+6

• 2(2x+3)

Use the FOIL method to multiply:
(4x+1)(5x−2)

• 20x² + 3x − 2

• 20x² − 11x + 5

• 20x² − 18x + 2

• 20x² − 3x − 2

(5e + 2)(e² - 3e + 6)

• 5e³ - 17e² +24e +12

• 5e³ + 17e² - 24e +12

• 5e³ - 13e² + 24e +12

• 5e³ +13e² - 24e - 12

Find the product:
-3x²(5x² + 3x)

• -15x⁴ - 9x²

• -15x⁴ - 9x³

• 15x⁴ - 6x³

• -15x⁴ + 9x³

Simplify (3x²) (3x⁴y³)

• 9x⁶y³

• 3x⁶y³

• 6x⁸y³

• 6x⁸y⁶

(e - 3)(e² + 2e + 7)

• e³ - e² + e - 21

• e³ + 5e + 13e - 21

• e³ - 3e² + 7e - 21

• e² + 2e - 3

FOIL or NOT FOIL?

(4x+13)(4x+14)

• FOIL - this is multiplication of two binomials

• NOT FOIL - this is the addition of two binomials, so combine like terms

• NOT FOIL - need to distribute the negative and then combine like terms

FOIL or NOT FOIL?

(x-3)(2x+7)

• FOIL - this is multiplication of two binomials

• NOT FOIL - this is the addition of two binomials, so combine like terms

• NOT FOIL - need to distribute the negative and then combine like terms