MEDIUM
Earn 100

If we divide 3y4 - y3 + 12y2 + 2 by 3y2 -1 then remainder is :

50% studentsanswered this correctly

Important Questions on Polynomials

MEDIUM
The product of the polynomials x+2, x-2, x3-2x2+4x-8 and x3+2x2+4x+8 is
EASY
The zeroes of the polynomial x2-3 will be -
HARD
Number of integers k for which the equation x3-27x+k=0 has at least two distinct integer roots is
EASY
The zeroes of the polynomial Px=x2-3x-4  will be : 
EASY
1-x-xn+xn+1, where n is a natural number, is divisible by______.
EASY
The degree of the polynomial 5x7-6x5+7x-4 is 
MEDIUM
If 30x2-15x+1=0, then what is the value of 25x2+36x2-1?
EASY

The graph of linear polynomial px=5x+3, xR is _____.

MEDIUM

The degree of a quadratic polynomial is:

MEDIUM

Consider the following two statements
I. Any pair of consistent liner equations in two variables must have a unique solution.
II. There do not exist two consecutive integers, the sum of whose squares is 365 .

Then

HARD
Let t  be real number such that t2=at+b for some positive integers a and b. Then for any choice of positive integers a and b, t3 is never equal to
MEDIUM
The number of polynomials p(x) with integer coefficients such that curve y=p(x) passes through (2,2) and (4,5) is
MEDIUM
HCF and LCM of two polynomials are (x + 3) and (x3-9x2-x+105). If one of the two polynomials is (x2-4x-21), then the other is 
EASY
The value of 27a3-22b3 is equal to:
EASY
If 1-64x3-12x+px2=1-4x3, then the value of p is:
EASY

The graph of y= p(x) is given, Find the number of zeroes of px.

Question Image

EASY
The coefficient of y in the expansion 2y-53, is:
HARD
The remainder when the polynomial 1+x2+x4+x6+.....+x22 is divided by 1+x+x2+x3+.....+x11 is