# Polynomial factorization methods

• Nov 15th 2012, 11:06 PM
theintervurt
Polynomial factorization methods
I have been looking into the different methods used to factor polynomials. I came across this example 12x2 – 7x – 10, apart from finding its zeroes is there another method that works for this case ?
• Nov 15th 2012, 11:17 PM
MarkFL
Re: Polynomial factorization methods
You can look for two factors of the product of the first and last coefficients $12(-10)=-120$ whose sum is the middle coefficient. We find:

$8(-15)=-120$ and $8+(-15)=-7$

Next, we observe that $8=2(4)$ and $-15=-5(3)$ and we need $4(3)=12$ and $2(-5)=-10$ hence, we may state:

$12x^2–7x–10=(4x-5)(3x+2)$