Home
Class 10
MATHS
If on division of a non-zero polynomial ...

If on division of a non-zero polynomial p(x) by a polynomial g(x), the remainder is zero, what is the relation between the degrees of p(x) and g(x)?

Text Solution

Verified by Experts

The correct Answer is:
`g(x)le` degree p(x).
Promotional Banner

Topper's Solved these Questions

  • POLYNOMIALS

    OSWAL PUBLICATION|Exercise NCERT EXEMPLAR (Exercise -2.3)|10 Videos

  • POLYNOMIALS

    OSWAL PUBLICATION|Exercise NCERT EXEMPLAR (Exercise -2.4)|9 Videos

  • POLYNOMIALS

    OSWAL PUBLICATION|Exercise NCERT EXEMPLAR (Exercise -2.1)|11 Videos

  • PAIR OF LINEAR EQUTIONS IN TWO VARIABLES

    OSWAL PUBLICATION|Exercise Case-Based MCQs|15 Videos

  • PROBABILITY

    OSWAL PUBLICATION|Exercise Self Assessment|66 Videos

Similar Questions

Explore conceptually related problems

Answer the following and justify. (i) can x^(2)-1 be the quotient on division of x^(6) +2x^(3) +x - 1 by a polynomial in x of degree 5? (ii) What will be quotient and remainder be on division of ax^(2)+bx +c by px^(3) +qx^(2) +rx +s, p ne 0 ? (iii) If on division of a polynomial p(x) by a polynomial g(x) , the quotient is zero, what is the relation between the degree of p(x) and g(x) ? (iv) If on division of a non-zero polynomial p(x) by a polynomial g(x) , the remainder is zero, what is the relation between the degrees of p(x) and g(x) ? (v) Can be quadratic polynomial x^(2) +kx +k have equal zeroes for some odd integer k gt 1 ?

If on division of a polynomial p(x) by a polynomial g(x), the quotient is zero, what is the relation between the degrees of p(x) and g(x)?

If on division of a polynomial p(x) by a polynomial g(x), the quotient is zero, what is the relation between the degrees of p(x) and g(x)?

Zero of the polynomial p(x)=2x+5 is

Zero of the polynomial p(x) =2x+5 is

Find a zero of the polynomial p(x)=2x+1

If 2 and -2 are the zeroes of the polynomial p(x). write the polynomial p(x)

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

On dividing a polynomial p(x) by a non-zero polynomial q(x) , let g(x) be the quotient and r(x) be the remainder then = q(x)* g(x) + r(x), where

Find the zeroes of the polynomial p(x)=4x^2-7x+3 by factorising it and verify the relationship between the zeroes and coefficients of p(x).