Question

Find the polynomial.
{5} is the solution set of?

Answer 1

the answer is x^2-10x+25=0

Answer 2

C.

Explanation:

The options are:

A)
`x^2-5x+25=0`

B)
`x^2+10x+25=0`

C)
`x^2-10x+25=0`

D)
`x^2+5x+25=0`

To find the polynomial expression that has 5 as solution we just have to replace it and test:

Option A.

`(5)^2-5(5)+25=0`

`25-25+25=0`

`25=0`

A is not the answer, because 25 = 0 is a false statement.

Option B.

`x^2+10x+25=0`

`(5)^2+10(5)+25=0`

`25+50+25=0`

`100=0`

B is not the answer.

Option C.

`x^2-10x+25=0`

`(5)^2-10(5)+25=0`

`25-50+25=0`

`-25+25=0`

`0=0`

Therefore, option C is the right answer, because 0 = 0 is true.