Question

the polynomial p(x)=x 2 −8x+k is divided by (x−1), the remainder comes out to be 0, then k is ______​

Answer 1

Answer:

We know that, if p(x) is divisible by(x−a) then, p(a) is the remainder.

So, p(1) is remainder here

p(1)=1

2

−8×1+k

=1−8+k

=−7+k

p(1)=6

Or, −7+k=6

So, k=13