write a quadratic function with zeros 0 and 9. write your answer using the variable x and in standard form…

write a quadratic function with zeros 0 and 9. write your answer using the variable x and in standard form with a leading coefficient of 1. g(x) =

write a quadratic function with zeros 0 and 9. write your answer using the variable x and in standard form with a leading coefficient of 1. g(x) =

Answer

Explanation:

Step1: Recall zero - factor form

If (x = r_1) and (x = r_2) are the zeros of a quadratic function, then the function can be written in factored form as (y=a(x - r_1)(x - r_2)). Here (r_1 = 0), (r_2=9) and (a = 1). So (g(x)=1\times(x - 0)(x - 9)).

Step2: Simplify the factored form

[ \begin{align*} g(x)&=(x-0)(x - 9)\ &=x(x - 9)\ &=x\times x-x\times9\ &=x^{2}-9x \end{align*} ]

Answer:

(x^{2}-9x)