Multiplying Polynomials (FOIL)

Distribute the monomial to each of the terms in the parentheses

Multiply the numbers and add exponents of like variables

For example: 3x² (4x⁴ -2x³) = 12x⁶ - 6x⁵

Now you try...

FOIL stands for Firsts, Outsides, Insides, Lasts (sometimes this is called double distribution since you take the first term and distribute to the second binomial and then take the second term and distribute to the second binomial)

Here is an example: (2x - 9)(x + 3)

= 2x(x) + 2x(3) - 9(x) - 9(3)

= 2x² + 6x - 9x -27 (now combine like terms)

= 2x² - 3x - 27

Volume = (length)(width)(height)

If length = 2 and width = 4 and height =5

V = (2)(4)(5)

V = 40 units cubed