Question

The zeros of a quadratic function are 6 and -4. Which of these choices could be the function?

A.
f(x) = (x + 6)(x + 4)
B.
f(x) = (x + 6)(x − 4)
C.
f(x) = (x − 6)(x + 4)
D.
f(x) = (x − 6)(x − 4)

Answer 1

C

Explanation:

If x = a is a zero of f(x) then (x - a) is a factor of f(x)

Here the zeros are x = 6 and x = - 4 then the corresponding factors are

(x - 6) and (x - (- 4) ) , that is (x - 6) and (x + 4)

Then f(x) is the product of the factors

f(x) = a(x - 6)(x + 4) ( a is a multiplier )

If a = 1 , then

f(x) = (x - 6)(x + 4) ← is a possible choice → C