Question

find the remainder when 2x²-3x+5 is divided 2x-3.Does it exactly divided the polynomial?state reason​

Answer 1

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

Step-by-step explanation: