Question
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)
and 16c2−9
. This is his work.
Identify Brady's error(s). Write the correct solution.
Please upload your handwritten work below.
(3 points)
Answers
GPT 3.5
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)
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)
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)
GPT 3.5
Thank you for the correction and additional explanation. It's important to review each step carefully when factoring expressions to avoid mistakes. Make sure to always check your work for accuracy.