Question

FACTOR THEOREM:
how can I find the solutions to
314x^3+1256x^2-7536 using the factor theorem?

Answer 1

Well first you ALWAYS look for a GCF in all the numbers to pull out to make factoring simpler.

Answer 2

314(x^3+4x^2-24) right?

Answer 3

In this case, 314 is the GCF. Yay. So you pull that out. Do you know how to do that part?

Answer 4

Does your 7536 have an x at the end? I noticed you used x^2 twice

Answer 5

Is it 314x^3+1256x^2-7536x?

Answer 6

my bad it's 314x^3 actually

Answer 7

So does 7536 have an x after it?

Answer 8

no

Answer 9

Really? Huh that's weird. Okay so anyways we are going to factor what is inside of the parenthesis. Is this the part you do not know how to do?

Answer 10

So now we have 314(x^3+4x^2-24)

Answer 11

I have no idea I was told to divide by the binomial to find the solutions but I don't know where to find the binomial

Answer 12

First, you want to set up 2 sets of parenthesis to get your 2 binomials. That's okay, I'll get you through it :)

Answer 13

Thats step 1. Simple right? :P

Answer 14

Now you want to get your 1st x with the power out of the way. Are you familiar with the term FOIL?

Answer 15

yes

Answer 16

Okay so first we are going to set out x^2 and x for the x^3 because the 1st step in foil is the "firsts" spots. So we have x^2 and x and those when you multiply them together, give you your first term x^3