Question

3x3 + 3x2 – 18xFactor this polynomial expression, and then write it in its fully factored form

Answer 1

Hi there! 

The answer is:
$3x ( x+3)(x-2)$

To find our answers we need to find out which terms are in common.
$3x^{3} = 3 * x* x*x \\ 3 x^{2} = 3*x*x \\ 18x = 3*6*x$

Now we can easily see that '3' and 'x' are in common. Therefore, we can bring those outside the parenthesis. The other terms will be positioned between parenthesis.