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Step-by-step explanation:
Given polynomial 2x2−3x+5 is divided by 2x−3
Then 2x−3=0 or x=23
Replace x by 23 we get
p(x)=2x2−3x+5
p(23)=2(23)2−3(23)+5
⇒p(23)=418−29+5
⇒p(23)=418−18+20
⇒p(23)=5
Thus remainder is 5
Then the value of polynomial 2x2−3x+5 is not zero by polynomial 2x−3
So 2x−3 is not the factor of polynomial 2x2−3x+5
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