Question

FIND THE VALUE OF K IF X-1 IS A FACTOR OF P(X)=X^2+XK​

Answer 1

Given that x - 1 is a factor of x² + xk .

So , x - 1 = 0

x = 1

If x is the factor of given equation then the value of the equation should be equal to zero when value of x is putted in it .

⇒ x² + xk = 0

(1)² + (1)k = 0

1 + k = 0

k = -1