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# What is the factored form of 8x^{2} + 12x?

**Solution:**

Given is a binomial 8x^{2} + 12x. The factored form of a polynomial can be obtained by taking out the common factor.

**Step 1: **Find the numerical factors that could be taken out in common. 8 and 12 are the coefficients and their GCD is 4.

8x^{2} + 12x = 4(2x^{2} + 3x)

**Step 2: **Take out the variables that are found in common. Here we have x common in both the terms. Taking x out we get,

8x^{2} + 12x = 4x( 2x + 3)

Thus the factored form of the given polynomial is** **4x( 2x + 3).

## What is the factored form of 8x^{2}+ 12x?

**Summary:**

The factored form of the equation 8x^{2} + 12x is 4x( 2x + 3).

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