Question

what will be the dividend if quotient is 3x²-x +2 reminder is 11 and the division is 2x -3?​

Answer 1

Answer:

divided is +3

Step-by-step explanation:

it means dividend is 3

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Answer 2

Answer:

The dividend is $6x^{3} - 11x^{2} + 7x +5$

Step-by-step explanation:

We know that the dividend can be very easily found using the below-given formula:

Dividend = divisor × quotient + remainder

Given in the above question are as follows:

Quotient = $3x^{2} - x + 2$

Remainder = 11

Divisor = 2x - 3

Hence the dividend is as below:

Dividend = $(3x^{2} - x + 2)(2x-3) + 11$

= $2x(3x^{2} - x + 2) - 3 (3x^{2} - x + 2) + 11$

= $6x^{3} - 2x^{2} +4x - 9x^{2} + 3x - 6 + 11$

= $6x^{3} - 11x^{2} + 7x +5$

Hence the dividend is $6x^{3} - 11x^{2} + 7x +5$