**POLYNOMIALS**

**Practice Questions – Class IX**

- Find the remainder when x
^{3}-ax^{2}+6x-a is divided by x-a. - Find the value of a and b so that the polynomial x
^{3}+10x^{2}+ax+b is exactly divisible by (x-1) as well as by (x+2) - Find the value of ‘a’ so that x+6 is a factor of x
^{3}+3x^{2}+4x+a - Show that (x+a) is a factor of x
^{n}+a^{n}for any odd positive integer n. - Find the value of p if (x-p) is a factor of the polynomial x
^{6}-px^{5}+x^{4}-px^{3}+3x-p+2. - Show that 3 is a zero of the polynomial x
^{3}-8x^{2}+8x+21. - Prove that x
^{2}+2x+3 has no zero. - Find the integral zeroes of the polynomial 2x
^{3}+5x^{2}-5x-1. - Find the values of a and b so that the polynomial x
^{3}-ax^{2}-13x+b has (x-1) and (x+3) as factors. - If x
^{3}+mx^{2}+nx+6 has (x-2) as a factor and leaves remainder 3 , when divided by (x-3) , find the values of m and n. - Find the value of p and q so that x-1 and x+1 are factors of x
^{4}+px^{3}+2x^{2}-3x+q. - Find a & b such that x+2 and x-2 are factors of the polynomials ax
^{4}+2x^{3}-3x^{2}+bx-4 - If x-3 and x-1/3 are both factors of ax
^{2}+5x+b, show that a=b - Find the value of a
^{3}-8b^{3}-36ab-216 when a = 2b+6 - The polynomials ax
^{3}+3x^{2}-3 and 2x^{3}-5x+a when divided by x-4 leaves the remainders p and q respectively. Find the value of a if 2p=q. - Prove that (x+y)
^{3}+(y+z)^{3}+(z+x)^{3}-3(x+y)(y+z)(z+x)=2(x^{3}+y^{3}+z^{3}-3xyz) - Show that x-y , y-z and z-x are factors of x
^{2}(y-z)+y^{2}(z-x)+z^{2}(x-y) - Find the value of p and q so that x-1 and x+1 are factors of x
^{4}+px^{3}+2x^{2}-3x+q. - Find a & b such that x+2 and x-2 are factors of the polynomials ax
^{4}+2x^{3}-3x^{2}+bx-4 - If x-3 and x-1/3 are both factors of ax
^{2}+5x+b, show that a=b - The polynomials ax
^{3}+3x^{2}-3 and 2x^{3}-5x+a when divided by x-4 leaves the remainders p and q respectively. Find the value of a if 2p=q. - Let A and B be the remainders when polynomials x
^{3}+2x^{2}-5ax-7 and x^{3}+ax^{2}-12x+6 are divided by x+1 and x-2 respectively. If 2A+B=6 , find the value of a. - Without actually calculating the cubes , evaluate each of the following

^{3}+(7)

^{3}+(5)

^{3}b) (18)

^{3}+(-13)

^{3}+(-5)

^{3}c) (25)

^{3}-(75)

^{3}+(50)

^{3}

no answer key?

ReplyDeletethere is no need of answer key

Deletethere is no need of answer key

Deletereally nigga?

Deletebut wheres the answer???????????????

ReplyDeleteif this is the most difficult in polynomial for class 9 i would top in my exams

ReplyDeletemuch easy questions

ReplyDeleteif this is the most difficult in polynomial for class 9 i would top in my exams

ReplyDeletewhere is the answer key we have done the question but we need to check ,,,,,if u will not give answer please come to my home and check the answer

ReplyDeletewhat is the answer to question no 10?

ReplyDeletewhat is the answer to question 21 and 22?

ReplyDeleteWhat is the answer of question 13 ?

ReplyDeletevery easy questions

ReplyDelete