Question

Without actual division, find the remainder when 2x 3
-x
2
-3x +5 is divided by
2x+1​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

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