Question

List, in order, all the steps you take when using the “ac” method to factor a trinomial of the form$a{x}^2+bx+c.$

Short answer

The steps are listed to factorize by ac.

Step-by-step solution

Step 1. Given Information

While doing factors $a{x}^2+bx+c.$

List all the steps you take when using factors.

Step 2. List of Steps

1. Factor any GCF.

2. Find the product $ac.$

3. Find two numbers $mandn$that

multiply to $m\times n=ac$

Add to $b,$$m+n=b$

4. Split the middle term using $m,n$$a{x}^2+mx+nx+c$

5. Factor by grouping

6. Check by multiplying the factors