Question

Find the remainder when 2x^3+7x^2+2x+9 is divided by 2x+3

Answer 1

Answer:

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Answer 2

The answer is 15.

GIVEN

Dividend = 2x³ + 7x² + 2x +9

Divisor = 2x + 3

TO FIND

The remainder

SOLUTION

We can simply solve the above problem as follows;

We are given;

Dividend = 2x³ + 7x² + 2x +9

Divisor = 2x + 3

The division is shown as follows;

x²+ 2x - 2

2x + 3 )2x³ + 7x² + 2x +9

2x³ + 3x²

4x² + 2x

4x² + 6x

-4x + 9

-2x - 6

+15

Quotient = x²+ 2x - 2

Remainder = 15

Hence, The answer is 15.

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