Question

The polynomials ay^3 +3y^2-3and 2y^3-5y+a when divided by (y-4) leave the remainder A&B respectively .Find the value of a of 2A-B=0.

Answer 1

Answer:



Step-by-step explanationWe know that,

x³-y³=(x-y)(x²+xy+y²)........................1

Given that,

x/y+y/x=-1

(x²+y²)/xy=-1

x²+y²=-xy

x²+y²+xy=0

(x²+xy+y²)=0

Multyplying by (x-y) on both sides we get,

(x-y)(x²+xy+y²)=(x-y)×0

By eq1 we get,

x³-y³=0

Hence x³-y³=0.