Form a polynomial whose real zeros and degree are given. ​Zeros: -2​, ​0, 1​; ​ degree: 3 Type a polynomial with integer coefficients and a leading coefficient of 1.

Question

Write a polynomial function using given characteristics.

Answer 1

if the zeros are x = -2, x = 0, and x = 1

then (x + 2), x and (x - 1) are factors of the polynomial

multiply these factors together

p(x) = x(x + 2)(x - 1)

p(x) = x(x² + x - 2)

p(x) = x³ + x² - 2x

this is a polynomial of degree 3 with the given roots