Question

Find the remainder when 2x2 - 3x + 5 is divided by 2x - 3. Does it exactly divide the
polynomial ? State reason.
4. Find the remainder when 9x - 3x2+x-5 is divided by * -
2
3​

Answer 1

Answer:

hope it is helpful to you

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