Question

Find the remainder of the following polynomial when it is divided by 2x-3
2x²- 3x +7​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

Given

f(x)=2x

3

−3x

2

+4x+7

Consider 2x+1=0⇒2x=−1⇒x=−

2

1

By remainder theorem, When f(x) is divided by (2x+1)

Remainder r=f(−

2

1

)

=2(−

2

1

)

3

−3(−

2

1

)

2

+4(−

2

1

)+7

=2(−

8

1

)−3(

4

1

)+4(−

2

1

)+7

=−

4

1

−

4

3

−2+7

=−1−2+7

=4