Question

if a polynomial x^4-5x^3+x^2+kx-12 is exactly divisible by x^2-5x+4 then find k​

Answer 1

k =15

first solve x^2-5x+4.

the ans we get is x=4 &x=1.

when we substitute x to

x^4-5x^3+x^2+kx-12

we get k as 15.

hence 15 is the ans.