Question

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

4(4x2 + 8x)

4x(2x + 3)

8x(x + 4)
8x(x2 + 4)

Answer 1

b, 4x(2x2 + 3x)
divide both sides by 4 and you will get 2x2 + 3x to be the most factored form

Answer 2

The required factorized form of the given quadratic equation is :

4x·(2x + 3)

Explanation:

The quadratic equation is given to be :

8x² + 12x

Now, we need to find the factored for of the given quadratic equation.

⇒ 8x² + 12x

Taking 4 common from both the terms

⇒ 4(2x² +3x)

Now, Taking x common from both the terms which are inside the bracket

⇒ 4x·(2x + 3)

⇒ Now, This equation cannot be factorized further

Hence, The required factorized form of the given quadratic equation is :

4x·(2x + 3)