2x^3+x^2-3x+5 dividing with 2x-1
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Answer
Given polynomial 2x
2
−3x+5 is divided by 2x−3
Then 2x−3=0 or x=
2
3
Replace x by
2
3
we get
p(x)=2x
2
−3x+5
p(
2
3
)=2(
2
3
)
2
−3(
2
3
)+5
⇒p(
2
3
)=
4
18
−
2
9
+5
⇒p(
2
3
)=
4
18−18+20
⇒p(
2
3
)=5
Thus remainder is 5
Then the value of polynomial 2x
2
−3x+5 is not zero by polynomial 2x−3
So 2x−3 is not the factor of polynomial 2x
2
−3x+5
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