# Factoring another polynomial function

• May 5th 2011, 03:31 PM
Arise01
Factoring another polynomial function
Alright so I've started this one as well.

Question: Determine the x - intercepts of the polynomial function.

-36x^4+14x^3+2x^2

I've factored down to ...

2x^2(18x^2+7x+1)

So I'm guessing that I'm going to have to use trial and error. How would I go about using trial and error for future reference?
• May 5th 2011, 04:08 PM
TheEmptySet
Quote:

Originally Posted by Arise01
Alright so I've started this one as well.

Question: Determine the x - intercepts of the polynomial function.

-36x^4+14x^3+2x^2

I've factored down to ...

2x^2(18x^2+7x+1)

So I'm guessing that I'm going to have to use trial and error. How would I go about using trial and error for future reference?

First you have a slight error when you factored out the GCF

\$\displaystyle -2x^2(18x^2-7x-1)\$

Now if we multiply a and c together we get

\$\displaystyle -18\$

Now we need factors of

\$\displaystyle -18\$