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)?

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 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)?

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

On dividing the polynomial 2x^(3)+4x^(2)+5x+7 by a polynomial g(x) the quotient and the remainder were 2x and 7-5x respectively.Find g(x)

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

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

On dividing the polynomial f(x)=x^(3)-3x^(2)+x+2 by a polynomial g(x), the quotient q(x) and remainder r(x) where q(x)=x-2 and r(x)=-2x+4 respectively.Find the polynomial g(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 the polynomial x^(3)-5x^(2)+6x-4 by a polynomial g(x) , quotient and remainder are (x-3) and (-3x+5) respectively. Find g(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^(3)-3x^(2)+5x-3,g(x)=x^(2)-2