1. (x + 1) is a factor of which of the polynomial?
a. x^{3} + x^{2} + x + 1
b. x^{2} + x + 1
c. x^{3} + 1
d. x^{2} + 1
2. If x^{2} + kx + 6 = (x+2) (x+3), then find the value of ‘k’?
a. 10
b. 12
c. 16
d. 5
3. What will be the remainder when x^{31} – 31 is divided by x+1?
a. −15
b. −32
c. 36
d. 48
4. 8 is a polynomial of degree
a. 1
b. 5
c. 9
d. 0
5. Which of the following statement is false?
a. The degree of a zero polynomial is defined.
b. The degree of a constant polynomial is not defined.
c. The degree of a zero polynomial is zero.
d. The zero of a zero polynomial is not defined.
6. A symbol having a fixed value is called a ______.
a. Coefficient
b. Variable
c. Constant
d. None of these
7. A polynomial of degree ____ is called a quadratic polynomial.
a. 3
b. 1
c. 0
d. 2
8. A polynomial of degree ____ is called a cubic polynomial.
a. 3
b. 1
c. 2
d. 0
9. A polynomial of degree ____ is called a linear polynomial.
a. 2
b. 0
c. 3
d. 1
10. A polynomial containing only one nonzero term is called a ________.
a. Binomial
b. Monomial
c. Trinomial
d. None of these
Chapter  2 Polynomials Quiz2  Math Class 9th
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Question 1 of 10
1. Question
(x + 1) is a factor of which of the polynomial?
Correct
x^{3} + x^{2} + x + 1
= x^{3}(x+1) +1(x+1)
= (x^{3}+1) (x+1)
Incorrect
x^{3} + x^{2} + x + 1
= x^{3}(x+1) +1(x+1)
= (x^{3}+1) (x+1)

Question 2 of 10
2. Question
If x^{2} + kx + 6 = (x+2) (x+3), then find the value of ‘k’?
Correct
x^{2} + kx +6 = (x+2)(x+3)
x^{2} + kx +6 = x^{2} + (2+3)x + 2 × 3
x^{2}+ kx +6 = x^{2}+5x+6
On comparing the terms, we get k = 5Incorrect
x^{2} + kx +6 = (x+2)(x+3)
x^{2} + kx +6 = x^{2} + (2+3)x + 2 × 3
x^{2}+ kx +6 = x^{2}+5x+6
On comparing the terms, we get k = 5 
Question 3 of 10
3. Question
What will be the remainder when x^{31 }– 31 is divided by x+1?
Correct
We will put x = 1 in the polynomial to find the remainder.
x^{31} − 31
Using remainder theorem.
= (−1)^{31} −31
= −1−31
= −32
Incorrect
We will put x = 1 in the polynomial to find the remainder.
x^{31} − 31
Using remainder theorem.
= (−1)^{31} −31
= −1−31
= −32

Question 4 of 10
4. Question
8 is a polynomial of degree
Correct
Since 8 is a constant term.
Therefore its degree is 0.
Incorrect
Since 8 is a constant term.
Therefore its degree is 0.

Question 5 of 10
5. Question
Which of the following statement is false?
Correct
The degree of a zero polynomial is not defined.
Incorrect
The degree of a zero polynomial is not defined.

Question 6 of 10
6. Question
A symbol having a fixed value is called a ______.
Correct
A symbol having a fixed value is called a constant.
Ex. Any natural number, whole number, integers, rational number.
A symbol having the variable values is called variable.
Incorrect
A symbol having a fixed value is called a constant.
Ex. Any natural number, whole number, integers, rational number.
A symbol having the variable values is called variable.

Question 7 of 10
7. Question
A polynomial of degree ____ is called a quadratic polynomial.
Correct
A polynomial of degree 2 is called a quadratic polynomial.
Its general form is ax^{2}+bx+c
Incorrect
A polynomial of degree 2 is called a quadratic polynomial.
Its general form is ax^{2}+bx+c

Question 8 of 10
8. Question
A polynomial of degree ____ is called a cubic polynomial.
Correct
A polynomial of degree 3 is called a cubic polynomial.
Its general form is ax^{3}+bx^{2}+cx+d
Incorrect
A polynomial of degree 3 is called a cubic polynomial.
Its general form is ax^{3}+bx^{2}+cx+d

Question 9 of 10
9. Question
A polynomial of degree ____ is called a linear polynomial.
Correct
A polynomial of degree 1 is called a linear polynomial.
Its general form is ax + b
Incorrect
A polynomial of degree 1 is called a linear polynomial.
Its general form is ax + b

Question 10 of 10
10. Question
A polynomial containing only one nonzero term is called a ________.
Correct
A polynomial containing one nonzero term is called a monomial.
Example: 3x, 5x^{2}, y^{3}
Incorrect
A polynomial containing one nonzero term is called a monomial.
Example: 3x, 5x^{2}, y^{3}