Question

if f(x)=x^4-2x+3x^2-ax+b is dimensions divided by (x-1) and (x+1), it leave the remainder 5 and 19 respectively. find 'a' and 'b'.​

Answer 1

Answer:

A Polynomial f(x) if divided by a linear polynomial (x-a) leaves remainder which equals f(a). So , when it is divided by (x - 1) it'll leave a remainder = f(1) = 5 (Given). Hence , Values of a and b are 5 and 8 respectively

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