Question

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

Answer 1

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

Answer 2

Answer:

C.

Step-by-step 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.