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Chapter 6: Q. 372 (page 635)

Factor Trinomials of the Form ax2+bx+cax using the 鈥�ac鈥� Method
In the following exercises, factor.

2x2+9x+4

Short Answer

Expert verified

By using 'ac'method, the factors of 2x2+9x+4 is (2x+1)(x+4)

Step by step solution

01

Step 1. Given

The trinomial is 2x2+9x+4

To find the factors by using 'ac' method.

02

Step 2. Find the product ac

Find the product ac

ac=8

Find two numbers that multiply to acand add to b.

(8)(1)=8

8+1=9

03

Step 3. Split the middle term

2x2+9x+4=2x2+8x+x+4

Factor by grouping

=2x(x+4)+1(x+4)

role="math" localid="1644672318322" =(2x+1)(x+4)

04

Step 4. Check the answer

(2x+1)(x+4)=2x2+8x+x+4

=2x2+9x+4

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