Question

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

O 4(4x² + 8x).
O 4x(2x + 3)
O8x(x + 4)
O 8x(x² + 4)

Answer 1

Explanation:

Solution

The factored form is going to be the HCF (highest common factor)

The fest way to do this is to turn this into primes.

8x^2 + 12x

8x^2 = 2*2*2*x*x

12x = 2 * 2 * x

Now bold the HCF.

8x^2 = 2*2*2*x*x

12x = 2 * 2 * x

The HCF = 2*2*x

Divide that into the original question to determine the second factor.

8x^2 / 4x = 2x

12x / 4x = 3 Notice how the x-s cancel

Answer

4x (2x + 3)