Answer:
The value of k will be -4
Step-by-step explanation:
We have given polynomial [tex]P(X)=x^3+kx^2+x+6[/tex]
It is given that x+1 is factor of the polynomial
And we have to find the value of k
As x+1 is the factor of polynomial so x+1 = 0 that is x = -1 will be the root of polynomial
So if we put x = -1 in the polynomial then the p(-1) will be zero
So [tex]0=(-1)^3+k(-1)^2-1+6[/tex]
[tex]k=-4[/tex]
So the value of k will be -4
