Question

What is the factored form of the expression?Factor completely.15g^3+18g^2-10g-12

Answer 1

Step 1: write the number as a product, helps visualizing common factors.
$3*(5g)*g^2 + (2*3)*3 g^2-2*(5g) -2*(2*3)$
I've marked things being repeating, so, group them up
$5g(3g^2-2)+6(3g^2-2)$
Now you have a common factor again
$(3g^2-2)(5g+6)$
Extra, if you want to split the first one, you can see it as the difference of $(\sqrt{3}g)^2$ and $\sqrt{2}$ which is further split into$( \sqrt{3} g+\sqrt{2}) (\sqrt{3} g-\sqrt{2})$