Question

7) If x-2 is a factor of P(x)= x^2-5x+a then find the value of a

2
3
4
6
please answer​

Answer 1

a = 6

Explanation:

Given that (x - 2) is a factor of P(x) , then P(2) = 0 , that is

P(2) = 2² - 5(2) + a = 0 , so

4 - 10 + a = 0

- 6 + a = 0 ( add 6 to both sides )

a = 6