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1 year ago

6x³ + 3x how do you factor out the GCF in this question??

Mathematics

2 answers:

shepuryov [24]1 year ago

7 0

Hope this helps, comment if you have any questions:)))

maw [93]1 year ago

4 0

Hi student, let me help you out! :)

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We are asked to factor out the GCF in the expression

$\star~\star\mathrm{6x^3+3x}~\star~\star$

$\triangle~\fbox{\bf{KEY:}}$

Divide every single term of the expression by the GCF (Greatest Common Factor).

So let's divide.

But first. we should work out the GCF.

Both terms have 3x in common, so we divide both terms by 3x:

$\mathrm{6x^3+3x}$

$\mathrm{3x(2x^2+1)}$

To ensure that we've factored correctly, we can always use the distributive property, distribute 3x and see whether or not we end up with $\mathtt{6x^3+3x}$ .

So the answer is

$\mathrm{3x(2x^2+1)}$

Notice I put parentheses around 2x²+1. This indicates that 3x is multiplied times both 2x² and 1.

Hope it helps you out! :D

Ask in comments if any queries arise.

#StudyWithBrainly

~Just a smiley person helping fellow students :)

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