Answer
Option C is the answer
5 is a solution of the polynomial x² - 10x + 25 = 0
Explanation
The solution of any polynomial will take the place of x and give the answer on the right hand side (in this case, 0).
So, to pick the answer, we will check each of these options
Option A
x² - 5x + 25 = 0
At x = 5
x² - 5x + 25 = 0
5² - 5(5) + 25 = 0
25 - 25 + 25 = 0
25 ≠ 0
Not the answer
Option B
x² + 10x + 25 = 0
At x = 5
x² + 10x + 25 = 0
5² + 10(5) + 25 = 0
25 + 50 + 25 = 0
100 ≠ 0
Not the answer
Option C
x² - 10x + 25 = 0
At x = 5
x² - 10x + 25 = 0
5² - 10(5) + 25 = 0
25 - 50 + 25 = 0
0 = 0
This polynomial gives the required result, so, this is the answer.
Option D
x² + 5x + 25 = 0
At x = 5
x² + 5x + 25 = 0
5² + 5(5) + 25 = 0
25 + 25 + 25 = 0
75 ≠ 0
Not the answer
Hope this Helps!!!
