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