Question

Factor the quadratic expression x to the second power + 16x + 48

Answer 1

(x + 12)(x + 4)

Explanation:

Find factors of x and 48 that, when combined, will give you 16x.

x² + 16x + 48

x 12

x 4

(x + 12)(x + 4) is your answer.

Check: Use the FOIL method (First, Outside, Inside, Last)

(x)(x) = x²

(x)(4) = 4x

(12)(x) = 12x

(12)(4) = 48

Combine like terms: x² + 4x + 12x + 48

x² + (4x + 12x) + 48

x² + 16x + 48 (True√)

~

Answer 2

(x+4) (x+12)

Explanation:

x^2 +16x+48

What numbers multiply to 48 and add to 16

4*12 = 48

4+12=16

(x+4) (x+12)