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
$\displaystyle 10p^2 + 30 + p^3 + 3p = 10(p^2 + 3) + p(p^2 + 3)$.
Can you see now there is a common factor of $\displaystyle p^2 + 3$?
$\displaystyle = (p^2 + 3)(10 + p)$.