In the exit slip, Brody factored the expression wrong. He needed to factor x^2 - 10x + 25 and 16c^2 -9. His is work below:

Question

x^2 - 10x + 25 = x^2 - 10x + 5^2
= x^2 -2 (x) (5) + 5^2
= (x + 5) (x -5)

16c^2 - 9 = (4c)^2 - (3)^2
= (4c -3)^2
Identify Brody's error(s). Write the correct solution

Answer 1

Brody made a mistake while factoring x^2 - 10x + 25. The correct factorization should be:

x^2 - 10x + 25 = (x - 5)^2

For 16c^2 - 9, Brody incorrectly factored it as (4c - 3)^2. The correct factorization is:

16c^2 - 9 = (4c + 3)(4c - 3)