When $3 x^{2} - x^{3} - 3 x + 5$ is divided by $x - 1 - x^{2}$ , the quotient and remainder are _________.

x + 2, 3

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x - 2, - 3

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x - 2, 3

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x + 2, - 3

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Solution

The correct option is C $x - 2, 3$
The answer is option $C$
This can be done either by long division as shown in the image
We can see the division gives us a quotient $(x - 2)$ and a remainder $3$

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Similar questions

Q. The polynomial which when divided by −x² + x − 1 gives a quotient x − 2 and remainder 3, is

(a) x³ − 3x² + 3x − 5
(b) −x³ − 3x² − 3x − 5
(c) −x³ + 3x² − 3x + 5
(d) x³ − 3x² − 3x + 5

Q. Find the quotient when f(x) = x³ + 3x² + 3x + 5 is divided by g(x) = x + 2. Also, find the remainder.

Q. If the polynomial

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is divided by another polynomial

x - 1 - x^{2}

, the remainder comes out to be

3

, then quotient polynomial is

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Q. Select the Quotient and Remainder when

x^{3} - 3 x + 4

is divided by

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When 3x2−x3−3x+5 is divided by x−1−x2, the quotient and remainder are _________.

The correct option is C x−2,3The answer is option CThis can be done either by long division as shown in the image We can see the division gives us a quotient (x−2) and a remainder 3

When $3 x^{2} - x^{3} - 3 x + 5$ is divided by $x - 1 - x^{2}$ , the quotient and remainder are _________.

The correct option is C $x - 2, 3$
The answer is option $C$
This can be done either by long division as shown in the image
We can see the division gives us a quotient $(x - 2)$ and a remainder $3$