Question

Factor by gcf 6x2+3x+21 The 2 is supposed to be small.

Answer 1

Given:

The expression is:

$6x^2+3x+21$

To find:

The factor of the given expression by GCF.

Solution:

It is given that,

$6x^2+3x+21$

The terms of the given expression are $6x^2,3x,21$. The greatest common factor of these terms is 3.

$6x^2+3x+21=3\times 2x^2+3\times x+3\times 7$

So, taking out the GCF, the given expression can be rewritten as:

$6x^2+3x+21=3(2x^2+x+7)$

Therefore, the factor form of the given expression by GCF is $3(2x^2+x+7)$.