select the correct answer from the drop - down menu. find the polynomial. {5} is the solution set of x^2…

select the correct answer from the drop - down menu. find the polynomial. {5} is the solution set of x^2 - 5x + 25 = 0 x^2 + 10x + 25 = 0 x^2 - 10x + 25 = 0 x^2 + 5x + 25 = 0

select the correct answer from the drop - down menu. find the polynomial. {5} is the solution set of x^2 - 5x + 25 = 0 x^2 + 10x + 25 = 0 x^2 - 10x + 25 = 0 x^2 + 5x + 25 = 0

Answer

Explanation:

Step1: Recall the zero - product property

If (x = 5) is the solution of a quadratic equation (ax^{2}+bx + c=0), then ((x - 5)) is a factor. Since the solution set is ({5}), the quadratic equation is ((x - 5)(x - 5)=0).

Step2: Expand the product

Using the FOIL method ((x - 5)(x - 5)=x^{2}-5x-5x + 25). Combining like - terms gives (x^{2}-10x + 25=0).

Answer:

(x^{2}-10x + 25 = 0)