Question

If the zeros to your quadratic function are x=6 and x= -1, which of the following is the correct factored form of the quadratic funciton?A) f(x)=(x+6)(x-1)B) f(x)=(x+6)(x+1)C) f(x)=(x-6)(x-1)D) f(x)=(x-6)(x+1)

Answer 1

If the number a is a zero of a polynomial, then the following expression can be factored out from it:

`(x-a)`

A quadratic function with two zeroes is composed of two binomial factors. If the zeroes are 6 and -1 then the factors are:

`\begin{gathered} (x-6) \\ (x-(-1))=(x+1) \end{gathered}`

Therefore, the correct factored form of the quadratic function, is:

`D)f(x)=(x-6)(x+1)`