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.
