Factor completely the trinomial below. *Write each factor as a polynomial in descending order.*

12x^2 - 32x - 12

Any explaination would be nice

CreatorRozen Sep 16, 2019

#1**+2 **

*Factor completely the trinomial below. Write each factor as a polynomial in descending order.*

*12x^2 - 32x - 12*

There's a scientific way to do this, but I don't know it. I tried to find it on the internet so I could relay the method to you, but I didn't understand it.

The way I do it, the way I've always done it, is to examine the numbers, then make informed guesses.

This one factors to **(12x + 4)(x – 3)** It took me three tries to find the right combinations.

I knew the coefficients of the "x" numbers must multiply to 12 and the "plain" numbers without an x must multiply to –12.

So I had to find the right ones. I don't know how I do it, but I just look at them and try a few. It took me until the third try to get it this time.

When you multiply the factors, you get 12x^{2} – 36x + 4x – 12 ,,,, then –36x + 4x gets you the –32x

^{.}

Guest Sep 16, 2019