Question

Fill out First row is standard form

Second row is Factored Form already done for you.

Answer 1

(x + 6)(x - 2) = x² + 4x - 12

(x + 2)(x - 8) = x² - 6x - 16

(x + 6)(x - 6) = x² - 36

(x - 5)(x - 1) = x² - 6x + 5

(x - 4)(x - 10) = x² - 14x + 40

(x + 2)(x + 5) = x² + 7x + 10

Explanation:

Use FOIL.

(x + 6)(x - 2) =

F - first: x × x = x²

O - outer: -2 × x = -2x

I - inner: 6 × x = 6x

L - last: 6 × -2 = -12

(x + 6)(x - 2) = x² - 2x + 6x - 12

Now, combine like terms.

(x + 6)(x - 2) = x² + 4x - 12

(x + 2)(x - 8) = x² - 6x - 16

(x + 6)(x - 6) = x² - 36

(x - 5)(x - 1) = x² - 6x + 5

(x - 4)(x - 10) = x² - 14x + 40

(x + 2)(x + 5) = x² + 7x + 10