cheak p(x) ,is the factor of g(x) or not if p(x)=2x^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
=>x−2=0
=>x=2
Now, p(2) should be 0 if p(x) is a multiple of g(x)
Thus,
p(2)=2
3
−5(2)
2
+4(2)−3
=8−20+8−3
=−7
=8−20+8−3
=0
Thus, p(x) is not a multiple of g(x)
3
−5x
2
+4x−3,
g(x)=x−2
=>x−2=0
=>x=2
Now, p(2) should be 0 if p(x) is a multiple of g(x)
Thus,
p(2)=2
3
−5(2)
2
+4(2)−3
=8−20+8−3
=−7
=8−20+8−3
=0
Thus, p(x) is not a multiple of g(x)
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