Q. 157 - Intermediate Algebra

Question

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

Step-by-Step Solution

Answer

The steps are listed to factorize by ac.

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 $m and n$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