Question

What is the factorization of the trinomial below? -2x3 + 2x2 + 12x

Answer 1

Starting with\[-2x^3+2x^2+12x\]you can see that in every term there is a 2 and an x, so these can be factored out. Also, it is customary to extract the minus.
Result:\[-2x(x^2-x-6)\]Now look for two numbers with sum -1 and product -6.
These are +2 and -3.
Now we have:\[-2x(x+2)(x-3)\]
Hope this helps!

ZeHanz