Question

Factor completely:$x^3+36x$.

Short answer

The factor for$x^3+36x$is,$x\left(x^2+36\right)$.

Step-by-step solution

Step 1. Given information

$x^3+36x$.

We need to find the factor for the given expression.

Step 2. Find the GCF.

In the given expression, the GCF is, $x$.

Factor out the GCF from the given expression.

$x^3+36x=x\left(x^2+36\right)$.

Step 3. Let us check the answer.

Multiply the obtained factors.

$$\begin{gathered} x\left(x^2+36\right)=(x.x^2)+(x.36) \\ =x^3+36x \end{gathered}$$

which is correct.