Question

One of the zeros of the polynomial is 3. What is the factored form of the function?

a) (x−3)
b) (x+3)
c) (x−3)^2
d) (x+3)^2

Answer 1

The correct factored form that includes the zero at 3 is (x - 3), which implies that the correct answer is option a) (x - 3).

Step-by-step explanation:

If a polynomial has a zero at 3, it means that (x - 3) is a factor of the polynomial. The factored form of the function would thus include (x - 3) as a factor. The options provided are variations of factors involving the number 3 either in a simple linear factor or as squared factors. Given that only one zero at 3 is mentioned without any indication of it being a repeated zero, the correct factored form would simply be (x - 3).