Question

If the polynomial 4x⁴-4x³-5x²+px-q is exactly divisible by 4x²-4x+1

Answer 1

You just divide the p(x) by 4x2-4x+1 then the (q) will come i.e.., x2-9 and the (r) will be (36-p)x+(9-q)

then take it as shown below:

(36-p)x =0

36x-px =0

-px=-36x

i.e.., p=36

Now , turn of q

9-q=0

-q=-9

i.e.., q=9

so the value comes up is p=36 and q=9