Question

r(x) = x^2 + 5x + 4 write r(x) in factored form. I would like an explanation as to how you get the answer please!

Answer 1

Answer: (x+1)(x+4)

Explanation:

Step 1: Use the sum-product pattern

x^2 + 5x + 4

x^2 + 4x + x + 4

Step 2: Common factor from the two pairs

x(x+4) + x+4

Step 3: Rewrite in factored form

(x+1)(x+4)