Question

find the value of k for which (x² + k²x +3-k) ÷ (x-3) has a remainder 4​

Answer 1

Let p(x)=x3+kx2−2x+k+4

As x+k is a factor

∴p(−k)=0

p(−k)=−k3+k3+2k+k+4⇒3k+4

As 3k+4=0

∴k=3−4

Answer 2

The Answer is in Attachment

Hope it Help you