Question

1. For what value of c is X-2 a factor of x2 - 5x + c?​

Answer 1

Answer:

put x - 2 = 0

so (2)^2 - 5(2) + c = 0

4 - 10 + c = 0

c = 6

Answer 2

Given:

Let, p(x) = $x^{2} - 5x + c$

g(x) = x - 2

To find :

The value of c.

Solution:

Step 1 of 2:

From the given values we get ,

g(x) = x - 2

x - 2 = 0

x = 2

Step 2 of 2:

If g(x) is a factor of p(x) , then p(2) should be equal to zero.

p(2) = $2^{2} - 5(2) + c$  is equal to 0.

4 - 10 + c = 0

- 6 + c = 0

c = 6

Final answer:

The value of c is  6 .