if x+1 is a factor of x^3-2x^2+5x+c, find the value of c.
let f(x) = x^3-2x^2+5x+c
if x+1 is a factor, then
f(-1) = 0
-1 -2 -5 + c = 0
c = 8
To find the value of c, we need to use the fact that x+1 is a factor of x^3 - 2x^2 + 5x + c.
When x+1 is a factor of a polynomial, it means that if we substitute x = -1 into the polynomial, we will get zero.
So, let's substitute x = -1 into the given polynomial and solve for c:
(-1)^3 - 2(-1)^2 + 5(-1) + c = 0
Simplifying the equation:
-1 + 2 - 5 + c = 0
-4 + c = 0
c = 4
Therefore, the value of c is 4.