Question

p(x) =xraise to 2 + x + k ​

Answer 1

Answer:

If (x+1) is a factor of function p(x) , then if we put x+1=0 i.e. x=-1 to the function p(x), then p(x) should become zero{This is called the remainder theorem.}

||| Remainder Theorem

If (x-r) is a factor of p(x), then p(r)=0 |||

Therefore, p(-1)=0

k(-1)^2-(-1)-4=0

k=3

ALTERNATIVELY,

On dividing (x+1) with p(x) we must get remainder=0 because (x+1) is a factor of p(x). So, it must completely divide p(x) without leaving a reminder.

On equating the remainder(which comes out to be in terms of k) equal to zero, we will get the same solution.

Answer 2

Step-by-step explanation:

please see the attachment