Which of the following is equivalent to 2x^(3)+4x ? Choose 1 answer: (A) 2x(x^(2)+2) (B) 2x(x^(2)+2x) (C) 2x(x^(2)+4x) (D) 2x(x+2)

Factor out GCF: Factor out the greatest common factor (GCF) from the expression 2x^(3)+4x. The GCF of 2x^(3) and 4x is 2x, since both terms are divisible by 2x.Divide by GCF: Divide each term by the GCF to find the remaining factors. 2x^(3) ÷ 2x = x^(2) 4x ÷ 2x = 2Write as product: Write the original expression as a product of the GCF and the remaining factors. 2x^(3)+4x = 2x(x^(2)+2)

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Which of the following is equivalent to
2x^(3)+4x ?
Choose 1 answer:
(A)
2x(x^(2)+2)
(B)
2x(x^(2)+2x)
(C)
2x(x^(2)+4x)
(D)
2x(x+2)

Which of the following is equivalent to $2 x^{3}+4 x$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $2 x\left(x^{2}+2\right)$ $\newline$ (B) $2 x\left(x^{2}+2 x\right)$ $\newline$ (C) $2 x\left(x^{2}+4 x\right)$ $\newline$ (D) $2 x(x+2)$

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Math Problems

Algebra 1

Identify equivalent linear expressions

Full solution

Q. Which of the following is equivalent to

2 x^{3}+4 x

\newline

Choose

1

answer:

\newline

(A)

2 x\left(x^{2}+2\right)

\newline

(B)

2 x\left(x^{2}+2 x\right)

\newline

(C)

2 x\left(x^{2}+4 x\right)

\newline

(D)

2 x(x+2)

Factor out GCF: Factor out the greatest common factor (GCF) from the expression $2x^{3}+4x$ . $\newline$ The GCF of $2x^{3}$ and $4x$ is $2x$ , since both terms are divisible by $2x$ .
Divide by GCF: Divide each term by the GCF to find the remaining factors. $\newline$ $2x^{3} \div 2x = x^{2}$ $\newline$ $4x \div 2x = 2$
Write as product: Write the original expression as a product of the GCF and the remaining factors. $\newline$ $2x^{3}+4x = 2x(x^{2}+2)$