# Thread: factoring trinomials

1. ## factoring trinomials

Hi all;
I need to factor the following 91 + 24q +-27q^2.

First I rearranged to the standard formula giving +-27q^2 + 24q +91.

Both signs will be + in the binomials ( + )( + ).

The factors of 27 will be 9 and 3 the factors of 91 will be 13 and 7.

Now because with a we are adding a negative number we will get.

(9q + 14)(-3q + 7)

I have expanded through and got back to the original expression I just need confirmation that this is the right way to solve it.

Thanks.

2. Originally Posted by anthonye
Hi all;
I need to factor the following 91 + 24q +-27q^2.

First I rearranged to the standard formula giving +-27q^2 + 24q +91.

Both signs will be + in the binomials ( + )( + ).

The factors of 27 will be 9 and 3 the factors of 91 will be 13 and 7.

Now because with a we are adding a negative number we will get.

(9q + 14)(-3q + 7)

I have expanded through and got back to the original expression I just need confirmation that this is the right way to solve it.

Thanks.
The red 14 should be a 13.

3. Oops sorry I must of mis_typed it should have been (9q +13)(-3q +7).

Thanks again.