# How do you factor the trinomial # x^2 - 7x + 12#?

##### 2 Answers

Apr 6, 2018

Here's how I did it:

#### Explanation:

Two factor a trinomial in form

- Multiply up to
#color(red)acolor(blue)c# - Add up to
#color(magenta)b#

In this question, that means the two numbers must:

- Multiply up to
#(color(red)1)(color(blue)12) = 12# - Add up to
#color(magenta)(-7)#

These two numbers are

So now we put them into factored form:

Hope this helps!

Apr 6, 2018

**multiply** to C (12) and **add** to Bx (7x).

In this case, the answer is (x-4)(x-3) because multiplying two negatives equal a positive and adding two negatives are still negative.