Question

check whether p(x) is a multiple of g(x) or not p(x)=x³-5x²+4x-3; g(x)=x-2​

Answer 1

Step-by-step explanation:

Given, P(x)=x 3 −5x 2 +4x−3 g(x)=x−2Put g(x)=0⟹x=2Now, p(2) should be 0 if p(x) is a multiple of g(x)so,p(2)=2 3 −5(2) 2 +4(2)−3p(2)=8−20+8−3p(2)=16−23p(2)=−7since remainder is not zero, p(x) is a not multiple of g(x).

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