Question

Find the value of k, if x - 1 is a factor of p(x): p(x) =
$x {}^{2} + x + k$
​

Answer 1

Answer:

k = -2

Step-by-step explanation:

p(x) = x^2 +x + k

》Since (x-1) is a factor of given polynomial

x = 1 is a root of the given quadratic equation

p(1) = 1^2 + 1 + k

》p(1) is equal to 0 because 1 is a root of the given quadratic equation

0 = 1 + 1 + k

k + 2 = 0

k = -2