Question

if F(x) = x^4 - 2x^3 + 3x^2 - ax + b is divided by x - 1 and x + 1 the remainder are 5 and 19 respectively then find A and B
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Answer 1

Answer:5 and 8

Step-by-step explanation:

By remainder theorem,

we can equate x-1=0,x=1

b-a=3.

Similarly,

x+1=0,x=-1

b+a=13.

By solving,

A=5,B=8