Home
Class 10
MATHS
Find the divisor g(x) when the polynomia...

Find the divisor g(x) when the polynomial `p(x)= 4x^(3)+2x^(2)-10x+2` is devided by g(x) and the quotient and remainder obtained are `(2x^(2)+4x+1)` and 5 respectively.

Text Solution

Verified by Experts

The correct Answer is:
g(x)= 2x-3
Promotional Banner

Topper's Solved these Questions

  • POLYNOMIALS

    OSWAAL PUBLICATION|Exercise TOPIC-2 DIVISION ALGORITHM FOR POLYNOMIALS (LONG ANSWER TYPE QUESTION- II)|4 Videos
  • POLYNOMIALS

    OSWAAL PUBLICATION|Exercise TOPIC 3 REMAINDER THEOREM (MULTIPLE CHOICE QUESTION)|2 Videos
  • POLYNOMIALS

    OSWAAL PUBLICATION|Exercise TOPIC-2 DIVISION ALGORITHM FOR POLYNOMIALS ( SHORT ANSWER TYPE QUESTION)|11 Videos
  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    OSWAAL PUBLICATION|Exercise TEXTBOOK CORNER (EXERCISE 3.7)|12 Videos
  • PROBABILITY

    OSWAAL PUBLICATION|Exercise TEXTBOOK CORNER (EXERCISE 14.2)|4 Videos

Similar Questions

Explore conceptually related problems

If the polynomial p(x)=x^(2) -x+1 is divided by (x-2) then the remainder is

If the polynomial p (x) = x ^2- x + 1 is divided by (x- 2) then the remainder is:

Find the degree of the polynomial P(x)=x^3+2x^2-5x-6

Find the degree of the polynomial P(x)=x^3+2x^2-5x-6

In the polynomial g(x)= x-2, q(x)= x^(2)-x+1 and r(x)= 4 find p(x)

On dividing x^(3)-3x^(2)+x+2 by a polynomial g(x), the quotient and remainder were x-2 and -2x+4, respectively. Find g(x).

Divide p(x) by g(x) and find the quotient and remainder : p(x)=x^(4)-5x+6, g(x)=2-x^(2)

Find the remainder when polynomial P(x)=x^3+3x^2+3x+1 id divided by 5+2x

Find the values of the following polynomials: p(x) = -x^(3) + x^(2) - 6x + 5 , when x = 2