How do you factor $15x^2 - x – 2$ by grouping?

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How do you factor $15x^2 - x – 2$ by grouping?

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Answer 1 · 2016-06-16T16:21:42

$15x^2-x-2=(3x+1)(5x-2)$

Explanation:

To factorize $15x^2-x-2$ by grouping, we have to first split coefficient of middle term $-1$ in two parts so that their product is the product of coefficient of other two i.e. $15xx(-2)=-30$ .

It is apparent that these could be $-6$ and $5$ . Hence,

$15x^2-x-2$

= $15x^2-6x+5x-2$

Now we group them as follows

$3x(5x-2)+1(5x-2)$

= $(3x+1)(5x-2)$

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