Question

find the value of k if (x+k) is a factor of the polynomial x³+kx²-2x+k+4 and factorise x⁴-x.

Answer 1

x+ k. is the factor =>x= -k
=>(-k)^3+k(k)^2-2(-k)+k+4=0
=>-k^3+k^3+2k+k+4=0
=>3k+4=0
=>k= -4/3
I hope it will help u

Answer 2

Answer: x+k=0

so for this we get x= -k

Step-by-step explanation:

• -[k]³+k[-k]²-2[-k]+k+4
• -k³+k³+2k+k+4
• 3k+4=0
• k=-4/3  Answer