Test Paper for Polynomial Class 9 Maths

Short Answer type

Question 1
Which of these is a polynomial
(a) $\sqrt {y} + 1$
(b) $\sqrt {2} + x +x^2$
(c) $y+ \frac {1}{y} + y^2$
(d) $\frac {5 \sqrt x + 6x^3/2}{\sqrt x}$
(e) $\frac {x+1}{x-1}$
(f) $x \sqrt {2}$

Answer

Polynomials : b,d,f
Non -Polynomial: a,c,e as exponent of variable is not non-negative integer

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Question 2
True and false
(a) The degree of non-zero constant polynomail is zero
(b) The degree of the zero polynomial is well defined
(c) A binomial can have atmost two terms
(d) A binomial may have degree 6
(e) A polynomial cannot have more than one zero
(f) The degree of the sum of two polynomials each of degree 6 is always 6.
(g) 0 and 2 are the zeroes of y²- 2y

Answer

(a) True
(b) False
(c) False
(d) True
(e) False
(f) False
(g) True

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Multiple choice Questions

Question 3
If $p + q+ r = 0$, then $p^3 + q^3 + r^3$ is equal to
(a)0
(b)3pqr
(c)2pqr
(d)pqr

Answer

Solution (b)

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Question 4
Which of these identities is not true?

Answer

Solution (d)

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Question 5
Find the coefficent of x² in (x -1)(9x² - 3x + 1)
(a)12
(b)-3
(c) 9
(d) -12

Answer

Solution (d)

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Question 6
If $x + \frac {1}{x}=3$, then the value $x^2 + \frac {1}{x^2}$ is
(a) 7
(b) 4
(c) 1
(d) 3

Answer

$x^2 + \frac {1}{x^2}= (x+ \frac {1}{x})^2 -2 =7$

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Question 7
If x⁶¹ + 61 is divided by x + 1, the remainder is
(a) 0
(b) 1
(c) 60
(d) 59

Answer

Putting x=-1, we get the remainder x⁶¹ + 61= (-1)⁶¹ + 61=-1 +61=60 Solution (c)

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Question 8
Find the value of a, if x - a is a factor of x³- ax² + 2x + a - 1
(a) 2/3
(b) 1/3
(c) 1
(d) 3

Answer

Let p(x) = x³- ax² + 2x + a - 1
Since x - a is a factor of p(x), so p(a) = 0.
i.e., a³- a(a²) + 2a + a - 1=0
3a = 1 or a=1/3
Solution (b)

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Question 9
if $x + \frac {1}{x}=2$ , then the value of $x^{10}+ \frac {1}{x^{10}}$ is
(a) 2
(b) 0
(c) 1
(d) -1

Answer

$x + \frac {1}{x}=2$
or $x^2 -2x+1=0$
or $(x-1)^2=0$
x=1
Therefore
$x^{10}+ \frac {1}{x^{10}}=2$

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Question 10
Degree of the quotient polynomials cannot be
(a) 0
(b) greater then degree of the reminder
(c) greater than degree of dividend
(d) None of the above

Answer

(c)

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Factorization questions

Question 11
Factorize the below expression
(a) 49x² + 70xy + 25y²
(b) 4y²+ 20y + 25

Answer

(a)49x² + 70xy + 25y²= (7x + 5y)²
(b) 4y²+ 20y + 25=(2y+5)²

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Question 12
(c) 16x²+ 4y² + 9z²- 16xy - 12yz + 24xz
(d) 2x³- 3x²- 17x + 30

Summary

This Class 9 Maths Test Paper for Polynomials is prepared keeping in mind the latest syllabus of CBSE . This has been designed in a way to improve the academic performance of the students. If you find mistakes , please do provide the feedback on the mail. You can download this test as pdf also as below
polynomials class 9 test papers with answers pdf

Also Read

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• Notes
  • Polynomial Expression
  • Adding & subtracting Polynomials
  • Multiplying & dividing Polynomials
  • How to factor polynomials
• NCERT Solutions
  • NCERT Solution Exercise 2.1 Class 9
  • NCERT Solution Exercise 2.2 Class 9
  • NCERT Solution Exercise 2.4 and 2.5 Class 9
• Assignments
  • Polynomial Class 9 Formative Assignment
  • Dividing Polynomial worksheet(download)
  • Factoring polynomial worksheet(download)
  • Polynomial Class 9 Test Paper
• Revision sheet
  • Polynomial Class 9 Cheatsheet

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Books Recommended

1. Secondary School Mathematics for Class 9 - CBSE - by R.S. Aggarwal
2. Oswaal CBSE Question Bank Class 9 Mathematics, Chapterwise and Topicwise Solved Papers
3. Full Marks Maths Complete Study Material Class 9
4. Mathematics class 9th and MCQs - by R.D. Sharma

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