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Standard IX

History

The Mongol Empire

On dividing 3...

Question

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).

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Solution

Ans: $g (x) = x^{2} - 2 x + 3$

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Similar questions

Question 4
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).

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)

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).

Q. On dividing

3 x^{3} + x^{2} + 2 x + 5

by a polynomial

g (x)

, the quotient and remainder are

(3 x - 5)

and

(9 x + 10)

respectively. Find

g (x)

Q. On dividing polynomial

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

Ans: g(x)=x2−2x+3

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).

Ans: $g (x) = x^{2} - 2 x + 3$