In the exit slip, Brady factored the expressions wrong. He needed to factor x2−10x+25
and 16c2−9
. This is his work.
Identify Brady's error(s). Write the correct solution.
Please upload your handwritten work below.
(3 points)
Brady's error with factoring x^2 - 10x + 25 is that he factored it as (x - 5)^2 instead of (x - 5)(x - 5).
Correct Solution:
x^2 - 10x + 25 = (x - 5)(x - 5)
Brady's error with factoring 16c^2 - 9 is that he factored it as (4c + 3)(4c - 3) instead of (4c + 3)(4c - 3).
Correct Solution:
16c^2 - 9 = (4c + 3)(4c - 3)
Answer:
The correct factorization of x^2−10x+25 is (x−5)^2 and the correct factorization of 16x2−9 is (4c+3)(4c-3).
Brady made mistakes in factoring the expressions. Here's the correct explanation and work:
Step 1: Factoring
x^2−10x+25:
Brady's mistake: He factored it as x^2−10x+5^2, which is incorrect.
Correct factorization:
x^2−10x+25=(x−5)(x−5)
or
(x−5)^2.
Step 2: Factoring
16c^2−9:
Brady's mistake: He factored it as(4c)^2−(3)^2,which is incorrect.
Correct factorization:
16c^2−9=(4c+3)(4c−3)