# Class 10 Maths Important Questions for Polynomials

Given below are the Class 10 Maths Important Questions for Polynomials
a) Concepts questions
b) Calculation problems
c) Multiple choice questions
e) Fill in the blank's
f) Match the column

## Match the column

A)
 Degree of polynomial Polynomial 1 x5 -3x2 +1 2 x-1 3 x4-3x2+2+ 3x3 4 x2 -2x-1 5 1-3x3
B)
 type of polynomial Polynomial monomial X3 -4x2 +1 binomial x-1 trinomial x4-3x2+2+ 3x3 No appropriate match x2 -2 3x3
C)
P(x)=5x3 -3x2+7x+2
 P(0) P(1) P(5) P(-1) P(-2)

## Multiple choice Questions

Question 1 Find the remainder  when x4+x3-2x2+x+1 is divided by x-1
a)1
b)5
c)2
d)3

Question 2 Which of these identities is not true?

Question 3 True or False statement
1. P(x) =x-1 and g(x) =x2-2x +1 .  p(x) is a factor of g(x)
2. The factor of 3x2 –x-4 are  (x+1)(3x-4)
3. Every linear polynomial has only one zero
4. Every real number is the zero’s of zero polynomial
5. A binomial may have degree 6
6. 1,2 are the zeroes of x2-3x+2
7. The degree of zero polynomial is not defined
8.  Graph of polynomial (x2-1) meets the  x-axis at one point
9. Graph of constant polynomial never meets x axis

Question 4Factorize following
1. x2 +9x+18
2. 3x3 –x2-3x+1
3. x3-23x2+142x-120
4. 1+8x3

## Match the column

A)
 Graph of polynomial Number of Zeros 0 1 2 3 4 5 6 7

B)
 Graph of polynomial Type of polynomial Linear polynomial Quadratic polynomial Cubic polynomial Constant polynomial

## Multiple Choice Questions

Question 1 If a and b are the zeroes of the polynomial  x2-11x +30, Find the value of a3 + b3
a)134
b)412
c)256
d)341

Question 2 S(x) = px2+(p-2)x +2. If  2 is the zero of this polynomial,what is the value of p
a)-1
b)1/2
c) -1/2
d)+1

Question 3if the zeroes of the quadratic equation are 11 and 2 ,what is expression for quadratic
a) x2-13x+22
b) x2-11x+22
c) x2-13x-22
d) x2+13x-22

Question 4 p(x) = x4 -6x3 +16x2 -25x +10
q(x) = x2-2x+k
It is given
p(x) = r(x) q(x) + (x+a)
Find the value of k and a
a)2,-2
b) 5 ,-5
c) 7,3
d) 3,-1

Question 5 A cubic polynomial is given below
S(x) =x3 -3x2+x+1
The zeroes of the polynomial are given as (p-q) ,p  and (p+q). What is the value p and q
a) p=1,q=√2 or -√2
b) p=1,q=2 or -2
c) p=1,q=1 or -1
d) None of these

## Division of polynomial

s(x) =r(x) s(x) + w(x)
Find the value of r(x) and w(x) in each case
a)  p(x) =x4+x3+2x2+3x+4
s(x) =x+2
b) p(x) =x4+4
s(x)=x2+x+1