Question

Find a polynomial function of degree 3 such that f (2) = 24 and x-1, x and x + 2

are factors of the polynomial.
Please help me

Answer 1

f(x) = 4x(x-1)(x+2) = 4x^3+4x^2-8x

Explanation:

f(x) = ax(x-1)(x+2)

Since f(2) = 24,

a(2)(1)(4) = 24

a = 4