To solve a polynomial inequality, we factor the polynomial into irreducible factors and find all the real of the polynomial. Then we find the intervals determined by the real and use test points in each interval to find the sign of the polynomial on that interval. Let P(x) = x(x + 2)(x 1) Fill in the diagram below to find the intervals on which P(z) 0. Sign of 2 0 | x x+2 x-1 x(x + 2)(x 1) From the diagram above we see that P(x) 0 on the intervals and