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Chapter 6: Q. 408 (page 636)

In the following exercises, factor completely

6a2-25a-9.

Short Answer

Expert verified

The factors of the given expression are (3a+1)(2a-9).

Step by step solution

01

Step 1. Given and explanation 

We have 6a2-25a-9.

We can see that this forms a quadratic equation which is given by

x2-ax+b=(x-c)(x-d)

02

Step 2. Factorizing the expression. 

We can see that this forms a quadratic equation which is given by

x2-ax+b=(x-c)(x-d)

Therefore,

6a2-25a-9=6a2-27a+2a-9=3a(2a-9)+1(2a-9)=(2a-9)(3a+1)

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