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Remainder Theorem

Quotient and ...

Question

Quotient and remainder of a polynomial when divided by $x + 2$ are $2 x - 1$ and $3$ respectively. Find the polynomial.

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Solution

The correct option is D

Dividend = Divisor x Quotient +Remainder.

Here, Polynomial = $(x + 2)$ $\times$ $(2 x - 1) + 3$ = $2 x^{2} + 3 x + 1$ .

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