Question

The remainder obtained on dividing p(x)=x^8+px^4+1 by q(x)=x+1 is 7. What is the value of p

Answer 1

Answer:

The value of p = 5

Step-by-step explanation:

By remainder theorem

If ax + b is divided by f(x)

then remainder comes out  to be

ax + b = 0

x = -b/a

Thus remainder is f(-b/a)

If x+1 is divided by p(x) then the remainder comes out to be p(-1)

Since remainder = 7

p(-1)  = 7

(-1)^8 + p(-1)^4 +1 = 7

1 + p = 6

p =5

HOPE IT HELPS!