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Chapter 7: Q. 211 - Exercises (page 850)

List, in order, all the steps you take when using the 鈥ac鈥 method to factor a trinomial of the form ax2+bx+c.

Short Answer

Expert verified

First, find the product of ac. Then find two numbers mand nsuch that m+n=band role="math" localid="1653653421085" mn=ac. Then split the middle term using mand nand factor them by grouping.

Step by step solution

01

Step 1. Given Information 

We are given a trinomial of the form ax2+bx+c. We need list the steps to factor the trinomial using the acmethod.

02

Step 2. List the steps

The first step in factoring the trinomial ax2+bx+cusing the"ac" method is to find the product ac.

The next step involves finding two numbers mand nwhich multiply to acthat is mn=ac, and which adds to bthat is m+n=b.

Then we split the middle term using the numbers mand nand then factor the polynomial by grouping the terms.

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