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.

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Solution

The correct option is C

Dividend = Divisor x Quotient +Remainder

$x^{3} - 3 x^{2} + x + 2$ = Divisor $\times$ (x-2) + (-2x+4) $\Rightarrow$ Divisor = $\frac{(x^{3} - 3 x^{2} + 3 x - 2)}{x - 2}$ = $x^{2} - x + 1$

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

x^{3} - 3 x^{2} + x + 2

gives quotient

(x - 2)

and remainder

(- 2 x + 4) .

Find the divisor.

Q. On dividing

x^{4} - x^{3} - 3 x^{2} + 3 x + 2

by polynomial

g (x)

, the quotient and the remainder are

x^{2} - x - 2

and

2 x

respectively. Find

g (x) = x^{2} - m

.Find

m

On dividing f(x) = x³ - 3x² + x + 2 by a polynomial g(x) the quotient and remainder q(x) and r(x) are (x – 2) and (-2x + 4) respectively, then g(x) is

Q. On dividing

x^{3} - 3 x^{2} + x + 2

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

x - 2

and

2 x + 4

, respectively . Find g (x)

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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 which gives quotient x−2 and the remainder −2x+4. Find the divisor.

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

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

The correct option is C

Dividend = Divisor x Quotient +Remainder

$x^{3} - 3 x^{2} + x + 2$ = Divisor $\times$ (x-2) + (-2x+4) $\Rightarrow$ Divisor = $\frac{(x^{3} - 3 x^{2} + 3 x - 2)}{x - 2}$ = $x^{2} - x + 1$