Question

If x²+2x+k is completely divisible by x-1, then find the value your k​

Answer 1

Answer:

k=3

Step-by-step explanation:

According to factor theorem, when f(x) is divided by (x−1),f(1)=0

According to factor theorem, when f(x) is divided by (x−1),f(1)=0f(x)=x^2+2x−k

According to factor theorem, when f(x) is divided by (x−1),f(1)=0f(x)=x^2+2x−kf(1)=1^2+2(1)−k=0

According to factor theorem, when f(x) is divided by (x−1),f(1)=0f(x)=x^2+2x−kf(1)=1^2+2(1)−k=03−k=0

According to factor theorem, when f(x) is divided by (x−1),f(1)=0f(x)=x^2+2x−kf(1)=1^2+2(1)−k=03−k=0k=3

Hope it helps

Answer 2

Answer:

k = -3

Step-by-step explanation:

hope it helps. bye..