Which expression is the result of factoring the expression below by taking out its greatest common factor?

Question

\[10x^2+50x=\,?\]
Choose 1 answer:
Choose 1 answer:
(Choice A)
\[10x(x+5)\]
A
\[10x(x+5)\]
(Choice B)
\[10x(x^2+5x)\]
B
\[10x(x^2+5x)\]
(Choice C)
\[x(10x^2+50x)\]
C
\[x(10x^2+50x)\]
(Choice D)
\[x(10x+50)\]
D
\[x(10x+50)\]

Answer 1

To factor the expression \(10x^2 + 50x\), we first need to identify the greatest common factor (GCF) of the terms in the expression.

The GCF of \(10x^2\) and \(50x\) is \(10x\).

We can factor out \(10x\) from the expression:

\[ 10x^2 + 50x = 10x(x^2 + 5x) \]

Thus, the correct factored expression is:

\[ 10x(x + 5) \]

Looking at the answer choices provided, the correct answer is:

(Choice A)
\[10x(x+5)\]