Question

If the zeros are 1 and -4, what are the factors?

Answer 1

(x - 1) and (x + 4)

Explanation:

Given the zeros of a polynomial, say x = a, x = b then the factors are

(x - a), (x - b) and the polynomial is the product of the factors, that is

f(x) = (x - a)(x - b)

Here the zeros are x = 1 and x = - 4, thus the factors are

(x - 1) and (x - (- 4)), that is (x - 1) and (x + 4)