Answer:
f(x) = (x+5)(x-8)(x-2)
Step-by-step explanation:
If we know the zeros, the polynomial is of the form
f(x) = (x-a)(x-b)(x-c) where a,b,c are the zeros
f(x) = (x - -5)(x-8)(x-2)
f(x) = (x+5)(x-8)(x-2)
Answer:
f(x) = (x + 5)(x - 8)(x - 2)
Step-by-step explanation:
Given a polynomial with zeros x = a , x = b , then the corresponding factors are
(x - a) and (x - b)
The polynomial is a product of the factors, that is
f(x) = (x - a)(x - b)
Here the zeros are x = - 5, x = 8, x = 2, then corresponding factors are
(x - (- 5)), (x - 8), (x - 2) , that is
(x + 5), (x - 8), (x - 2) and the polynomial is
f(x) = (x + 5)(x - 8)(x - 2)
