Question

Zeros :-1,1,3;degree:3

Answer 1

Answer:

y = x³ - 3x² - x + 3

Step-by-step explanation:

Given the zeros x = - 1, x = 1 and x = 3 then

(x + 1), (x - 1) and (x - 3) are the factors and the polynomial is the product of the factors, hence

y = a(x - 1)(x + 1)(x - 3) ← a is a multiplier

let a = 1 and expand the factors

y = (x² - 1)(x - 3)

  = x³ - x - 3x² + 3

  = x³ - 3x² - x + 3 ← in standard form