Question

A polynomial function has roots of -5,2 and 7

Answer 1

P(x) =x³-4x²-31x+70

Explanation:

The function is expressed as:

P(x) = (x+5)(x-2)(x-7)

P(x) =(x²-2x+5x-10)(x-7)

P(x) = (x²+3x-10)(x-7)

P(x) = x³-7x²+3x²-21x-10x+70

P(x) =x³-4x²-31x+70

Hence the polynomial is P(x) =x³-4x²-31x+70