Question

if p(x)=x^4-2x^3+3x^2-ax+b is a polynomial such that when it is divided by x-1 and x+1,the remainders are 5 and 9 respectively . determine the remainders when p(x) is divided by x-2

Answer 1

Answer:

15

Step-by-step explanation:

p(x)=x^4-2x^3+3x^2-ax+b

p(1)=1-2+3-a+b = 5

p(-1)=1+2+3+a+b = 9

a + b = 3

-a + b = 3

a = 0 , b = 3

the required remainder when p(x) is divided by x-2 is p(2)

p(2) = 2∧4 - 2∧4 + 3×2² + 3 = 15