Question

Can I get some help with the first one. 6p^3-12p^2+9p

Answer 1

Hi there!

The answer is:
$6p {}^{3} - 12 {p}^{2} + 9p = 3p(2 {p}^{2} - 4p + 3)$

We can find this answer by writing the factors.
$6 {p}^{3} = 3 \times 2 \times p \times p\times p$
$- 12 {p}^{2} = 3 \times - 4 \times p \times p$
$9p = 3 \times 3 \times p$

Now we can see that the terms that are in common are 3 and p. Therefore, the GCF is 3p.