Priya lost her homework paper on polynomials and she doesn't remember the divisor dividing the polynomial $x^{3} - 3 x^{2} + x + 2$ gives quotient $x - 2$ and remainder $- 2 x + 4$ . Find the divisor.

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Solution

The correct option is C

$D i v i d e n d = D i v i s o r \times Q u o t i e n t + R e m a i n d e r x^{3} - 3 x^{2} + x + 2 = D i v i s o r \times (x - 2) + (- 2 x + 4) \Rightarrow D i v i s o r = \frac{(x^{3} - 3 x^{2} + 3 x - 2)}{x - 2} = \frac{(x^{2} - x + 1) \times (x - 2)}{x - 2} = x^{2} - x + 1$

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Priya lost her homework paper on polynomials and she doesn't remember the divisor dividing the polynomial $x^{3} - 3 x^{2} + x + 2$ which gives quotient $x - 2$ and the remainder $- 2 x + 4$ . Find the divisor.

Q. Priya lost her homework paper on polynomials and she doesn't remember the divisor which, on dividing the polynomial

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gives quotient

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by a polynomial g (x), the quotient and remainder were

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Priya lost her homework paper on polynomials and she doesn't remember the divisor dividing the polynomial x3−3x2+x+2 gives quotient x−2 and remainder −2x+4. Find the divisor.

The correct option is C Dividend=Divisor×Quotient+Remainderx3−3x2+x+2=Divisor×(x−2)+(−2x+4)⇒Divisor=(x3−3x2+3x−2)x−2=(x2−x+1)×(x−2)x−2 =x2−x+1

Priya lost her homework paper on polynomials and she doesn't remember the divisor dividing the polynomial $x^{3} - 3 x^{2} + x + 2$ gives quotient $x - 2$ and remainder $- 2 x + 4$ . Find the divisor.