In the exit slip, Brady factored the expressions wrong. He needed to factor x2−10x+25 and 16c2−9
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
Explain Brady's mistakes. Correct Brady's work to show the correct answer.
Brady incorrectly factored x^2 - 10x + 25 by trying to factor it as a difference of squares. However, x^2 - 10x + 25 is not a perfect square trinomial. The correct way to factor it is to recognize that it can be written as (x - 5)^2, not (x + 5)(x - 5).
For 16c^2 - 9, Brady tried to factor it as a difference of squares which is correct, but made a mistake in the final step. The correct factorization should be (4c)^2 - 3^2 = (4c + 3)(4c - 3), not (4c - 3)^2.
Therefore, the correct factorizations are:
x^2 - 10x + 25 = (x - 5)^2
16c^2 - 9 = (4c + 3)(4c - 3)