Distributive Multiplying Polynomials

(3c²)(10c⁷)

• 13c⁹

• 30c⁵

• 30c⁹

• -30c⁹

The FOIL method is based off of what mathematical property?

• Distributive Property

• Commutative Property

• Associative Property

• Identity Property of Multiplication

• Identity Property of Addition

(x + 5)² 

Hint: try (x + 5)(x + 5)

• x² + 25

• x² + 10x + 25

• x² + 10 x + 10

• x² + 10

(x + 7)(x - 2)

• x^2 - 5x + 5

• x^2 - 9x - 14

• x^2 - 5x - 14

• x^2 + 5x - 14

Simplify:
(x - 9)(x - 7)

• x² - 2x - 63

• x² - 16x - 63

• x² - 2x + 63

• x² - 16x + 63

(x - 7)(x + 7)

• x^2 + 7x - 49

• x^2 - 7x + 49

• x^2 - 49

• x^2 + 49

(2h + 8)(9h + 4)

• 12h⁸ + 18h + 32

• 18h² + 80h + 32

• 16h² + 60h + 38

• 24h² + h + 32

What is the distributive property?

• For any numbers a, b, c,

  a(b + c) = ab + ac

• For any numbers a, b, and c,

  a(b + c) = a + (b + c)

• For any numbers a, b, c,

  abc = a + b + c

• For any number a, b, and c,

  a(b + c ) = a(c + b)

(2x - 1)(x + 2)

• 2x² + 3x - 2

• 2x² - 5x - 2

• 2x² + 3x + 2

• 2x² - 5x + 2

(4x+1)(5x−2)

• 20x² + 3x − 2

• 20x² − 11x + 5

• 20x² − 18x + 2

• 20x² − 3x − 2