On dividing a polynomial 3-3-4-2-5-13 by a polynomial - the quotient and remainder are 3-10 and 16-43 respectively- Find -

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Division of a Polynomial by a Polynomial

On dividing a...

Question

On dividing a polynomial $3 x^{3} + 4 x^{2} + 5 x - 13$ by a polynomial $g (x)$ the quotient and remainder are $(3 x + 10)$ and $(16 x - 43)$ respectively. Find $g (x)$ .

x^{2} - 3 x + 2

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x^{2} + 3 x - 2

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x^{2} - 2 x - 3

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x^{2} - 2 x + 3

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Solution

The correct option is D $x^{2} - 2 x + 3$
Correct answer is option B.

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Similar questions

On dividing $3 x^{3} + 4 x^{2} + 5 x - 13$ by a polynomial g(x), the quotient and remainder were $3 x + 10$ and $16 x - 43$ respectively. Find the polynomial g(x).

Q. On dividing the polynomial

3 x^{3} + 4 x^{2} + 5 x - 13

by a polynomial

g (x)

, the quotient and the remainder were

(3 x + 10)

and

(16 x - 43)

respectively. Find

g (x)

When a polynomial is divided by (x+2), the quotient and remainder are (2x-1) and 3 respectively. Find the polynomial.

Q. Find the quotient and remainder obtained when

p (x) = 10 x + 6 x^{2} - 24

is divided by

g (x) = 2 x + 6.

Q. On dividing a polynomial

3 x^{3} + 4 x^{2} + 5 x - 13

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

3 x + 10

and

16 x - 43

respectively. Find the polynominalg(x).

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On dividing a polynomial 3x3+4x2+5x−13 by a polynomial g(x) the quotient and remainder are (3x+10) and (16x−43) respectively. Find g(x).

The correct option is D x2−2x+3Correct answer is option B.

On dividing a polynomial $3 x^{3} + 4 x^{2} + 5 x - 13$ by a polynomial $g (x)$ the quotient and remainder are $(3 x + 10)$ and $(16 x - 43)$ respectively. Find $g (x)$ .

The correct option is D $x^{2} - 2 x + 3$
Correct answer is option B.