Question

Enter a quadratic polynomial which has zeros -8 and 10

Answer 1

Answer: y = x^2-2x-80

Explanation:

y = (x+8)(x-10) (set the zeros equal to a factor)

y = x^2-2x-80

Answer 2

y = x² - 2x - 80

Explanation:

given a polynomial with zeros x = a and x = b , then the factors are

(x - a) and (x - b)

the polynomial is then the product of the factors, that is

y = (x - a)(x - b)

given zeros x = - 8 and x = 10, then the factors are

(x - (- 8) ) and (x - 10) , that is (x + 8) and (x - 10)

the polynomial is then

y = (x + 8)(x - 10) ← expand factors using FOIL

y = x² - 2x - 80