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* 2x^2+3* x+3* 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)`.