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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
d) Long answer 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?
Class 10 Maths Important Questions  for Polynomials

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
Class 10 Maths Important Questions  for Polynomials
  0
Class 10 Maths Important Questions  for Polynomials
  1
Class 10 Maths Important Questions  for Polynomials
2
Class 10 Maths Important Questions  for Polynomials
  3
Class 10 Maths Important Questions  for Polynomials
  4
Class 10 Maths Important Questions  for Polynomials
  5
Class 10 Maths Important Questions  for Polynomials
  6
Class 10 Maths Important Questions  for Polynomials
  7

B)
Graph of polynomial
Type of polynomial
Class 10 Maths Important Questions  for Polynomials
  Linear polynomial
Class 10 Maths Important Questions  for Polynomials
  Quadratic polynomial
Class 10 Maths Important Questions  for Polynomials
 
Cubic polynomial
Class 10 Maths Important Questions  for Polynomials
  Constant polynomial
Class 10 Maths Important Questions  for Polynomials
  Class 10 Maths Important Questions  for Polynomials
  Class 10 Maths Important Questions  for Polynomials
  Class 10 Maths Important Questions  for Polynomials

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







Class 10 Maths Class 10 Science