Given:
The expression is:
[tex]6x^2+3x+21[/tex]
To find:
The factor of the given expression by GCF.
Solution:
It is given that,
[tex]6x^2+3x+21[/tex]
The terms of the given expression are [tex]6x^2,3x,21[/tex]. The greatest common factor of these terms is 3.
[tex]6x^2+3x+21=3\times 2x^2+3\times x+3\times 7[/tex]
So, taking out the GCF, the given expression can be rewritten as:
[tex]6x^2+3x+21=3(2x^2+x+7)[/tex]
Therefore, the factor form of the given expression by GCF is [tex]3(2x^2+x+7)[/tex].
