Table of Contents
- Time Limit: You have 15 minutes to complete the quiz.
- Multiple Choice: Each question has several options to choose from.
- One Correct Answer: Only one option is correct per question.
- No Negative Marking: No points will be deducted for wrong answers.
Quiz 1 – Class 9 Maths Chapter 2 Polynomials
Welcome to Quiz 1 on Chapter 2 – Polynomials from CBSE Class 9 Maths Syllabus . This chapter focuses on understanding the definition of polynomials, types, and their degree. The quiz will help you apply these concepts and test your understanding of polynomial expressions. Sharpen your skills and dive into the world of polynomials!
Class 9 Maths Chapter 2 Polynomials Quiz 2
Ques: State whether the statement is true or false. Given polynomials are and , and g(x) is a factor of .
a). True
b). False
Correct option:
A
Explanation:
Given that the two polynomials are and . We need to find whether is a factor of or not.
When a polynomial is divided by a polynomial and leaves the remainder , then it is the factor of that polynomial.
We will use the long division method for performing the division.
We have,
Remainder is .
Since the remainder is not zero therefore, is not a factor of .
Hence, the given statement that is a factor of is incorrect.
Therefore, option 2 is correct.
Ques: Polynomial can be made up of many terms.
a). True
b). False
Correct option:
A
Explanation:
Polynomial is made up of two terms, namely Poly (meaning “many”) and Nominal (meaning “terms”).
Ques: 2p2 −3p+1 is a polynomial ?
a). True
b). False
Correct option:
A
Explanation:
It is polynomial of degree 2
Ques: State True/False:
12 – 15x/22x is an example of a polynomial.
a). True
b). False
Correct option:
B
Explanation:
Given Expression: 12 – 15x/22x
Due to the presence of a variable in the denominator, the total degree of the given expression becomes negative. So, it will not represent a polynomial.
Ques: A polynomial is an expression composed of variables, constants and exponents with mathematical operations.
12 – 15x/22x is an example of a polynomial.
a). True
b). False
Correct option:
A
Explanation:
A polynomial is an expression composed of variables, constants and exponents with mathematical operations.
Example: 3xy + 4y
Ques: The value of k for which (–4) is a zero of the polynomial x2 – x – (2k +2) is:
a). 6
b). 9
c). 11
d). 3
Correct option:
B
Explanation:
In the given polynomial f(x) = x² − x − (2k + 2), substitute x = −4 as shown below:
f(−4) = (−4)² − (−4) − (2k + 2)
= 16 + 4 − 2k − 2
= 18 − 2k
Therefore, f(−4) = 18 − 2k.
Since it is given that x = −4 is a zero of the polynomial, f(x) = x² − x − (2k + 2).
Therefore, f(−4) = 0 that is:
18 − 2k = 0
⇒ 2k = 18
⇒ k = 9
Hence, k = 9.
Ques: The zeroes of the quadratic polynomial x2 + kx + k, k ≠ 0 __________________.
a). cannot be both positive
b). cannot be both negative
c). are always unequal
d). are always equal
Correct option:
A
Explanation:
Product of zeroes = k
The sign is positive which means both the zeroes have the same sign.
Sum of zeroes = – k
The sign is negative and both have the same sign. Hence, both the zeroes are negative.
Ques: A quadratic polynomial can have at most ________ zeroes.
a). 4
b). 2
c). 1
d). 3
Correct option:
B
Explanation:
Let, f(x) = ax2 + bx + c
The maximum number of zeros that a polynomial can have is equal to the highest degree of that polynomial. So a quadratic polynomial can at most have two zeroes.
Ques: If 2 and 3 are two zeroes of x3 − 5x2 + 6x, then find the third zero of the polynomial.
a). 4
b). 2
c). 1
d). 0
Correct option:
D
Explanation:
Given polynomial: x3 − 5x2 + 6x
Let the third root be p.
Since, the sum of roots = − coefficient of x3 / coefficient of x2
⇒ 2 + 3 + p = -5/1
⇒ 5 + p = 5
⇒ p = 0
So, the third zero is 0.
Ques: Is the following statement true or false?
The expression ‘y’ can be categorized as a polynomial.
a). True
b). False
Correct option:
A
Explanation:
We have given an expression ‘y’.
We know that a polynomial is a term or a group of terms having a whole number power.
Here, since y has the power 1, it is a polynomial.
Therefore, the given statement is true.
Hence, option (1) is correct.
