a.) Provided function P(x)= x^4 + 1x^3 -20x^2. Determine the y intercept and x intercepts?
b.) Determine the degree 3 polynomial with coefficient of x^3 equal to 1 and zeros 3, -5i, and 5i. Simplify the answer so it has only real numbers as coefficients.
c.) For function y= x(x-2)(x+8). Compute y intercept and x intercepts?
d.) Provided that f(x) is cubic function with zeros at -8, -1, and 10, compute the equation for f(x) given that f(0)=4.