1. If one zero of the quadratic polynomial x^{2}+ 3x + k is 2, then find the value of ‘k’?
a. 10
b. 15
c. 16
d. 12
2. If two of the zeroes of a cubic polynomial ax^{3} +bx^{2} +cx +d are zero, then find the third zero?
a. (b)/a
b. (a)/b
c. (c)/x
d. (d)/a
3. If the zeroes of a quadratic polynomial ax^{2} + bx + c, c ≠ 0 are equal, then
a. b and c have the same sign
b. c and a have the same sign
c. b and c have opposite sign
d. c and a have opposite sign
4. If a real number ‘α’ is a zero of a polynomial, then ______ is a factor of f(x).
a. x+α
b. x−α
c. x±α
d. None of these
5. The polynomial 9x^{2}+6x+4 has
a. No real zeroes
b. One real zero
c. Many real zeroes
d. Two real zeroes
6. What is the maximum number of zeroes that a polynomial of degree 3 can have?
a. Zero
b. One
c. Two
d. Three
7. What is the number of zeroes of a cubic polynomial?
a. 2
b. 3
c. At most 3
d. 5
8. If a polynomial of degree five is divided by a quadratic polynomial, then find the degree of the quotient polynomial?
a. 0
b. 2
c. 3
d. 1
9. The largest power of ‘x’ in p(x) is the _________ of the polynomial.
a. Zero
b. Root
c. Degree
d. Solution
10. A polynomial of degree ____ is called a linear polynomial.
a. 0
b. 3
c. 1
d. 2
Chapter  2 Polynomials Quiz3  Math Class 9th
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Question 1 of 10
1. Question
If one zero of the quadratic polynomial x^{2}+ 3x + k is 2, then find the value of ‘k’?
Correct
Given Polynomial is p(x) = x^{2} + 3x + k
According to question, is one of the facto of the polynomial.
(Put x = 2)
p(2) = 0
(2)^{2} + 3 × 2 + k = 0
4 + 6 + k =0
k = −10Incorrect
Given Polynomial is p(x) = x^{2} + 3x + k
According to question, is one of the facto of the polynomial.
(Put x = 2)
p(2) = 0
(2)^{2} + 3 × 2 + k = 0
4 + 6 + k =0
k = −10 
Question 2 of 10
2. Question
If two of the zeroes of a cubic polynomial ax^{3} +bx^{2} +cx +d are zero, then find the third zero?
Correct
Given: α = 0, β = 0 and γ=?
Since α + β + γ = b/a∴ 0 + 0 + γ = (−b/a)
γ = b/aIncorrect
Given: α = 0, β = 0 and γ=?
Since α + β + γ = b/a∴ 0 + 0 + γ = (−b/a)
γ = b/a 
Question 3 of 10
3. Question
If the zeroes of a quadratic polynomial ax^{2} + bx + c, c ≠ 0 are equal, then
Correct
If the zeroes of a quadratic polynomial ax^{2} + bx +c, c ≠ 0 are equal, then c and a have the same sign always.
Incorrect
If the zeroes of a quadratic polynomial ax^{2} + bx +c, c ≠ 0 are equal, then c and a have the same sign always.

Question 4 of 10
4. Question
If a real number ‘α’ is a zero of a polynomial, then ______ is a factor of f(x).
Correct
α be the zero of the polynomial. It means x= α. Therefore, (x α) will be the factor of that polynomial.
Incorrect
α be the zero of the polynomial. It means x= α. Therefore, (x α) will be the factor of that polynomial.

Question 5 of 10
5. Question
The polynomial 9x^{2}+6x+4 has
Correct
The polynomial 9x^{2} + 6x + 4 has no real zeroes if D<0
D = b^{2}4ac
= 62 – 4×9×4
= 36 – 144 = – 108
D<0
Thus, the polynomial will have no real zeroes.Incorrect
The polynomial 9x^{2} + 6x + 4 has no real zeroes if D<0
D = b^{2}4ac
= 62 – 4×9×4
= 36 – 144 = – 108
D<0
Thus, the polynomial will have no real zeroes. 
Question 6 of 10
6. Question
What is the maximum number of zeroes that a polynomial of degree 3 can have?
Correct
The maximum number of zeroes that a polynomial of degree 3 can have is three because the number of zeroes of a polynomial is equals to the degree of that polynomial.
Incorrect
The maximum number of zeroes that a polynomial of degree 3 can have is three because the number of zeroes of a polynomial is equals to the degree of that polynomial.

Question 7 of 10
7. Question
What is the number of zeroes of a cubic polynomial?
Correct
The number of zeroes of a cubic polynomial is at most 3 because the highest power of the variable in cubic polynomial is 3, i.e. ax^{3}+bx^{2}+cx+d
Incorrect
The number of zeroes of a cubic polynomial is at most 3 because the highest power of the variable in cubic polynomial is 3, i.e. ax^{3}+bx^{2}+cx+d

Question 8 of 10
8. Question
If a polynomial of degree five is divided by a quadratic polynomial, then find the degree of the quotient polynomial?
Correct
If a polynomial of degree five is divided by a quadratic polynomial, then the degree of the quotient polynomial is three because the quadratic polynomial has power 2. In order to divide the polynomial having power 5, it should be multiplied with the polynomial of power 3.
Example: x^{5}/x^{2} = x^{52 }= x^{3}
Incorrect
If a polynomial of degree five is divided by a quadratic polynomial, then the degree of the quotient polynomial is three because the quadratic polynomial has power 2. In order to divide the polynomial having power 5, it should be multiplied with the polynomial of power 3.
Example: x^{5}/x^{2} = x^{52 }= x^{3}

Question 9 of 10
9. Question
The largest power of ‘x’ in p(x) is the _________ of the polynomial.
Correct
The largest power of ‘x’ in p(x) is the degree of the polynomial.
Incorrect
The largest power of ‘x’ in p(x) is the degree of the polynomial.

Question 10 of 10
10. Question
A polynomial of degree ____ is called a linear polynomial.
Correct
A polynomial of degree 1 is called a linear polynomial.
Incorrect
A polynomial of degree 1 is called a linear polynomial.