Home
Class 10
MATHS
What real number should be subtracted fr...

What real number should be subtracted from the polynomial `(3x^(3)+10x^(2)-14x+9)` so that `(3x-2)` divides it exactly?

A

`5`

B

`6`

C

`7`

D

`8`

Text Solution

Verified by Experts

The correct Answer is:
A

On dividing `(3x^(2)+10x^(2)-14x+9)` by (3x-2)

`:'` the remainder =5
`:.` required number=5 `"
Promotional Banner

Topper's Solved these Questions

  • POLYNOMIALS

    NAGEEN PRAKASHAN|Exercise Problems From NCERT/ Exemplar|11 Videos
  • POLYNOMIALS

    NAGEEN PRAKASHAN|Exercise Exercise 2a|28 Videos
  • LINEAR EQUATIONS IN TWO VARIABLES

    NAGEEN PRAKASHAN|Exercise Revision Exercise Long Answer Questions|8 Videos
  • PROBABILITY

    NAGEEN PRAKASHAN|Exercise Revision Exercise Very Short Answer/short Answer Questions|16 Videos

Similar Questions

Explore conceptually related problems

Subtract the polynomial 2x+3x^(2), from 5x^(2)+4x-3

What must be subtracted from the polynomial f(x)=x^(4)+2x^(3)-13x^(2)-12x+21 so that the resulting polynomial is exactly divisible by x^(4)-4x+3?

Divide the polynomial 3x^(4)-4x^(3)-3x-1 by x-2

What is the number of zeroes of the polynomial 3x^2+7x-5 ?

What number should be added to the polynomial, x^(2)+7x-35 , so that 3 is the zero of the polynomial?

What should be subtracted from -7x^(3)+2x^(2)+8 to obtain -4x^(2)+9x-6

Write the remainder when the polynomial f(x)=x^(3)+x^(2)-3x+2 is a divided by x+1

What should be subtracted from x^(3) + 2x^(2) - 3x + 10 , so that the difference is a multiple of x - 2 ?