# Math Help - Factorising!!!

1. ## Factorising!!!

ok, this may seem a tad noobish but i'm in the ninth grade so i need help!

Factorise the following:
10p^2+30+p^3+3p

This is the answer i came up with:

p(10p+p^2+3)+30

is that right or do i need help?

2. Originally Posted by Awesome Smiley101
ok, this may seem a tad noobish but i'm in the ninth grade so i need help!

Factorise the following:
10p^2+30+p^3+3p

This is the answer i came up with:

p(10p+p^2+3)+30

is that right or do i need help?
Seems alright to me, but it is usually written like

$p(p^2+10p+3)+30$

You can probably factorise further too!

3. Originally Posted by Awesome Smiley101
ok, this may seem a tad noobish but i'm in the ninth grade so i need help!

Factorise the following:
10p^2+30+p^3+3p

This is the answer i came up with:

p(10p+p^2+3)+30

is that right or do i need help?
This is a factorising by grouping problem.

Note that we can factorise each half of the expression

$10p^2 + 30 + p^3 + 3p = 10(p^2 + 3) + p(p^2 + 3)$.

Can you see now there is a common factor of $p^2 + 3$?

$= (p^2 + 3)(10 + p)$.

4. Originally Posted by Karl Harder
Seems alright to me, but it is usually written like

$p(p^2+10p+3)+30$

You can probably factorise further too!
Sorry but this is not a factorised expression.