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Chapter 6: Q. 412 (page 636)

In the following exercises, factor completely

5x2+5x-60.

Short Answer

Expert verified

The factors of the given expression are 5(x-3)(x+4).

Step by step solution

01

Step 1. Given and explanation 

We have 5x2+5x-60.

We can see that this forms a quadratic equation.We know that quadratic equation is of the form

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

Applying this, we will factorize the given expression.

02

Step 2. Factorizing the expression. 

We have 5x2+5x-60.

This can be written as 5(x2+x+12).

Applying the property of quadratic equation,

5x2+5x-60=5(x2+x-12)=5(x2+4x-3x-12)=5(x(x+4)-3(x+4))=5(x+4)(x-3)

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