Given the function

Question

Given the function P(n)=3n^4+30n^3+63n^2

its P-intercept is 

its n-intercepts are 

Answer 1

The P intercept occurs when n=0.

0 is one of the intercepts for n...and it occurs twice.

The other 2 n intercepts will be found by setting P(n)=0, dividing out the n² term and

solving the resulting quadratic.