Question

find the value of a and b so that the polynomial p(x) =x4+x3+8x2-ax +b is exactly divisible by x2-1

Answer 1

Hey

Here is your answer,

x2- 1 = (x + 1)(x - 1) => x = + 1 or x = - 1

p(1) = 1 + 1 + 8 - a + b = 0

=> 10 = a - b---(i)

p(-1) = 1 - 1 + 8 + a + b = 0

=> -8 = a + b--(ii)

(I) + (ii)

10 - 8 = a - b + a + b

2 = 2a

a = 1

b = - 9

Hope it helps you!

Answer 2

Answer:

Hope it is helpful! stay safe keep use brainly