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Chapter 6: Q. 375 (page 635)

In the following exercise, factor.

15x2+6x鈭�2

Short Answer

Expert verified

The given polynomial is prime and cannot be factorised.

Step by step solution

01

Step 1. Given information  

The given expression is :

15x2+6x鈭�2

02

Step 2. Use ac method for factorisation  

To factorise the polynomial ax2+bx+cby acmethod, we need to think of two numbers whose product is equal to acand the sum is equal to b.

For polynomial 15x2+6x鈭�2we have:

ac=15脳(-2)=-30

And we have to think of two numbers whose sum is equal to 6and product is equal to -30.

Then there are no two numbers whose sum is 6and the product is -30.

Thus, this trinomial is prime.

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Factor by Grouping In the following exercises, factor by grouping.

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Factor completely using trial and error:

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