Math, asked by morankhiraj, 4 months ago

What must be added to the polinomial 2x³ - 3x² - 8x, so that it leaves a reminder 10 when divided by 2x + 1?​

Answers

Answered by dileepsai749
2

Answer:

The number that should be added is 7 .

Step-by-step explanation :

Given as :

The polynomial expression 2 x³ - 3 x² - 8 x

Remainder = 10

The polynomial is divided by 2 x + 1

Let The number to be added = n

According to question

∵ 2 x³ - 3 x² - 8 x is divided by 2 x + 1

So, x = - \dfrac{1}{2}

2

1

is the factor

So, remainder = 2 x³ - 3 x² - 8 x + number

Or, 10 = 2 ( - \dfrac{1}{2}

2

1

)³ - 3 ( - \dfrac{1}{2}

2

1

)² - 8 ( - \dfrac{1}{2}

2

1

) + n

Or, 10 = \dfrac{-1}{4}

4

−1

- \dfrac{3}{4}

4

3

+ 4 + n

Or, 10 - 4 = n - 1

Or, n = 6 + 1

∴ n = 7

So, The number that should be added = n = 7

Hence, The number that should be added is 7 .Answer

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Answered by Utkarshshukla1244
3

Answer:

sorry bhai. tujhe nhi mai copy paste kr rha tha zoo.m walo k liye.glti se gya tujhe bro..

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