Find the polynomial fx of degree 3 with zeros x 1 4 5 and f

Find the polynomial f(x) of degree 3 with zeros x = 1, -4, -5, and f(-3) = -8 A. x^3 + 8x^3 + 11x - 20. B. x^3 + 8x^2 + 11x C. x^3 + 8x^2 - 20. D. x^4 + 8x^2 + 11x - 20. E. None of the above A B C D E

Solution

Zeroes are x=1,-4,-5

therefore the factor form is

(x-1)(x+4)(x+5)

and f(-3)=-8

Therefore the required polynomial is

f(x)=(x-1)(x+4)(x+5) = x³+8x²+11x-20

option a