Question
Which expression is the result of factoring the expression below by taking out its greatest common factor?
4x^2 +16x -4=?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
(Choice B)
B
(Choice C)
C
(Choice D)
D
4x^2 +16x -4=?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
(Choice B)
B
(Choice C)
C
(Choice D)
D
Answers
GPT-4o mini
To factor the expression \( 4x^2 + 16x - 4 \) by taking out its greatest common factor (GCF), we first identify the GCF of all the terms in the expression.
The terms are \( 4x^2 \), \( 16x \), and \( -4 \).
The GCF of these coefficients (4, 16, and -4) is 4.
Now, we can factor out the GCF of 4 from each term:
\[
4x^2 + 16x - 4 = 4(x^2 + 4x - 1)
\]
So, the expression factored by taking out its greatest common factor is:
\[
4(x^2 + 4x - 1)
\]
If the choices given correspond to forms of the factored expression, please clarify those choices so that an appropriate answer can be selected.
The terms are \( 4x^2 \), \( 16x \), and \( -4 \).
The GCF of these coefficients (4, 16, and -4) is 4.
Now, we can factor out the GCF of 4 from each term:
\[
4x^2 + 16x - 4 = 4(x^2 + 4x - 1)
\]
So, the expression factored by taking out its greatest common factor is:
\[
4(x^2 + 4x - 1)
\]
If the choices given correspond to forms of the factored expression, please clarify those choices so that an appropriate answer can be selected.