What is the factored form of 8x² + 12x?

Solution:

Given is a binomial 8x² + 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.

8x² + 12x = 4(2x² + 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, 

8x² + 12x = 4x( 2x + 3)

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

What is the factored form of 8x²+ 12x?

Summary:

The factored form of the equation 8x² + 12x is 4x( 2x + 3).