Home / Class 9 Math / Chapter 2 – Polynomials | Class 9 MCQ Test 1
1.A cubic polynomial is a polynomial with degree 0 1 2 3
2. A polynomial of degree 5 in x has at most 6 terms 5 terms 4 terms 1 terms
3. The coefficient of x^{3} in the polynomial 5 + 2x + 3x^{2}– 7x^{3} is 5 3 -7 2
4. The quadratic polynomial whose sum of zeroes is 3 and product of zeroes is –2 is x^{2} – 5x – 3 x^{2} + x – 1 x^{2} – 4x – 2 x^{2} – 3x – 2
5. A linear polynomial :- May have more than one zero Has one and only one zero always May have no zero May have one zero
6. If x + y = 3, x^{2} + y^{2} = 5 then xy is 6 2 3 4
7. When the polynomial x^{3} + 3x^{2} + 3x + 1 is divided by x + 1, the remainder is :- 5 -6 0 1
8. If the polynomial 2x^{3} – 3x^{2} + 2x – 4 is divided by x – 2, then the remainder is :- 8 -12 4 0
9. The value of k for which x – 1 is a factor of the polynomial 4x^{3}+ 3x^{2} – 4x + k is :- 6 0 -3 -9
10. The value of k for which x + 1 is a factor of the polynomial x^{3} + x^{2} + x + k is :- -1 4 0 1
Class 9 Polynomials Quiz -1
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Question 1 of 10
1. Question
A cubic polynomial is a polynomial with degree
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A cubic polynomial is a polynomial of degree 3. A univariate cubic polynomial has the form f(x) = a_{3} x^{3} + a_{2} x^{2} + a_{1} x + a_{0}. An equation involving a cubic polynomial is called a cubic equation. A closed-form solution known as the cubic formula exists for the solutions of an arbitrary cubic equation
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Question 2 of 10
2. Question
A polynomial of degree 5 in x has at most
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A polynomial of degree 5 is of the form , where a, b, c, d, e, and f are real numbers and a ≠ 0.
Thus, p(x) can have at most 6 terms and at least one term containing.
Incorrect
A polynomial of degree 5 is of the form , where a, b, c, d, e, and f are real numbers and a ≠ 0.
Thus, p(x) can have at most 6 terms and at least one term containing.
Question 3 of 10
3. Question
The coefficient of x3 in the polynomial 5 + 2x + 3x^{2}– 7x^{3} is
Correct
Incorrect
Question 4 of 10
4. Question
The quadratic polynomial whose sum of zeroes is 3 and product of zeroes is –2 is
Correct
Incorrect
Question 5 of 10
5. Question
A linear polynomial :-
Correct
A number of zeroes of an n -degree polynomial = n.
First, a linear polynomial is in the form of ax + b, a≠0, a,b ∈R
The degree of the polynomial = highest degree of the terms
So here the highest degree is 1.
Hence, Linear polynomial has only one zero.
Incorrect
A number of zeroes of an n -degree polynomial = n.
First, a linear polynomial is in the form of ax + b, a≠0, a,b ∈R
The degree of the polynomial = highest degree of the terms
So here the highest degree is 1.
Hence, Linear polynomial has only one zero.
Question 6 of 10
6. Question
If x + y = 3, x^{2} + y^{2} = 5 then xy is
Correct
Incorrect
Question 7 of 10
7. Question
When the polynomial x^{3} + 3x^{2} + 3x + 1 is divided by x + 1, the remainder is :-
Correct
Incorrect
Question 8 of 10
8. Question
If the polynomial 2x^{3} – 3x^{2} + 2x – 4 is divided by x – 2, then the remainder is :-
Correct
Incorrect
Question 9 of 10
9. Question
The value of k for which x – 1 is a factor of the polynomial 4x^{3}+ 3x^{2} – 4x + k is :-
Correct
Incorrect
Question 10 of 10
10. Question
The value of k for which x + 1 is a factor of the polynomial x^{3} + x^{2} + x + k is :-