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

Sagot :

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].

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