Question

Find a polynomial of degree 3 with real coefficients and zeros of -3, -1, and 4, for which f(-2) = 24.

Answer 1

y = a(x+3)(x+1)(x-4)

at x = -2, (x+3)(x+1)(x-4) = 18

so,

y = 4/3 (x+3)(x+1)(x-4)