Step by step
The question
Question: factor 6x² + 9x.
Factor means: write it as a times, with brackets.
6x2 + 9x
1 Take out the common factor
6 and 9 can both be divided by 3.
Every term has at least x.
So the common factor is 3x.
6, 9: all in the 3 times table
every term has x
We divide every term by it.
What is left goes in the bracket.
6x2 ÷ 3x = 2x
9x ÷ 3x = 3
So it is 3x(2x + 3).
= 3x(2x + 3)
2 Check
Let's check: we multiply it back out.
The term in front times each part.
Check: 3x(2x + 3) = 6x2 + 9x
We get 6x² + 9x again.
So 3x(2x + 3) is right!
Let's look back.
First: take out the common factor.
Last: check.
Answer
= 3x(2x + 3)