Multiply Divide Polynomials

Simplify the expression. (Multiply)

• -21x⁴ + 3x³ - 12x²

• 7x² - x + 4 - 3x²

• 21x⁴ + 3x³ + 12x²

Multiply!! **Remember: FOIL!!!

(x − 3)(6x − 2)

• 6x² − 20x + 6

• 6x² + 20x - 6

Multiply! **Just like FOIL.

(x-3)(x²+2x+7)

• x³-x²+x-21

• x³+5x+13x-21

• x³-3x²+7x-21

Multiply!

x(x² + 3x + 5)

• x² + 4x + 5

• x² + 3x² + 5x

• x³ + 3x² + 5x

Find the quotient

Mathematical Equivalence

ON

Divide. Be sure to break it up into 2 division problems, first.

• 2x⁸-8x²-28x

• 2x⁸-2x²-7x

• 2x⁷ -2x -7

Divide. Be sure to break it up into 2 division problems, first.

• 5w ² − 4w + 3

• 12w ² − 9w + 6

(5x+2)(x²-3x+6)

• 5x³ - 17x² +24x +12

• 5x³ + 17x² - 24x +12

• 5x³ - 13x² + 24x +12

• 5x³ +13x² - 24x - 12

(x-3)(x²+2x+7)

• x³-x²+x-21

• x³+5x+13x-21

• x³-3x²+7x-21

• x²+2x-3

Simplify:
(3x - 5) ( 4x² - 2x - 3)

• 12x³ - 26x² - 25x + 15

• 12x³ - 20x² - 5x + 15

• 12x³ - 20x² - 6x + 15

• 12x³ - 26x² + x + 15