Check the Class 9 Maths MCQ Questions of Polynomials with Answers with detailed explanations. Each MCQ Question will have four choices here, out of which just one is right. Students need to pick the right alternative and check the appropriate response given here. Solving these chapter-wise MCQ Questions will assist students with scoring great marks in the last, most important exams.
Solving these chapter-wise MCQ Questions for class 9 Maths will assist students with scoring great marks in the last test of the year. Practice given below the Multiple Choice Questions of Polynomials prepared here online with answers based on recant syllabus and exam pattern.
Practice MCQ Questions for Class 9 Maths
1. A polynomial of degree 5 in x has at most
(a) 5 terms
(b) 4 terms
(c) 6 terms
(d) 10 terms
2. x2-2x+1 is a polynomial in:
(a) One Variable
(b) Two Variables
(c) Three variable
(d) None of the above
3. The coefficient of x2 in 3x3+2x2-x+1 is:
(a) 1
(b) 2
(c) 3
(d) -1
4. A binomial of degree 20 in the following is:
(a) 20x + 1
(b) x/20 + 1
(c) x20 +1
(d) x2+20
5. The degree of 4x3-12x2+3x+9 is
(a) 0
(b) 1
(c) 2
(d) 3
6. √3 is a polynomial of degree:
(a) 2
(b) 0
(c) 1
(d) 1/2
7. Degree of the polynomial 7x5 + 8x2 - 5x + 3 is:
(a) 1
(b) 3
(c) 2
(d) 5
8. What is the degree of a zero polynomial?
(a) 0
(b) 1
(c) Any natural number
(d) Not defined
9. x2 – x is ________ polynomial.
(a) Linear
(b) Quadratic
(c) Cubic
(d) None of the above
10. x – x3 is a ________ polynomial.
(a) Linear
(b) Quadratic
(c) Cubic
(d) None of the above
11. 1+3x is a _________ polynomial.
(a) Linear
(b) Quadratic
(c) Cubic
(d) None of the above
12. The value of f(x) = 5x−4x2+3 when x = -1, is:
(a) 3
(b) -12
(c) -6
(d) 6
13. The value of p(t) = 2+t+2t2−t3 when t=0 is
(a) 2
(b) 1
(c) 4
(d) 0
14. The zero of the polynomial f(x) = 2x+7 is
(a) 2/7
(b) -2/7
(c) 7/2
(d) -7/2
15. What is the degree of the polynomial √3?
(a) 0
(b) 1
(c) 1/2
(d) 2
16. The degree of the constant polynomial is
(a) 0
(b) 1
(c) 2
(d) 3
17. One of the linear factors of 3x2+8x+5 is
(a) (x+1)
(b) (x-2)
(c) (x+2)
(d) (x-4)
18. The coefficient of x in 7x2+6x-2 is
(a) 2
(b) 6
(c) -2
(d) 7
19. Which of the following is an example of the quadratic polynomial?
(a) 7x+3
(b) 2x2+x-1
(c) x+3x3-9
(d) None of the above
20. Find the value of 72-52.
(a) 22
(b) 23
(c) 24
(d) 25
Answer:
1. Answer: (c) 6 terms
2. Answer: (a) One Variable
Explanation: x2-2x+1 can be written as x2-2x1+1x0. Hence, we can see that x is the only variable having powers as whole numbers: 2,1 and 0.
3. Answer: (b) 2
Explanation: The coefficient of x2 in equation 3x3+2x2-x+1 is the multiple of x2.
4. Answer: (c) x20 +1
Explanation: A polynomial having two terms and the highest degree 20 is called a binomial of degree 20.
5. Answer: (d) 3
Explanation: The degree is the highest power of a variable in an equation.
6. Answer: (b) 0
7. Answer: (d) 5
8. Answer: (d) Not defined
9. Answer: (b) Quadratic
Explanation: A polynomial of degree two is known as quadratic polynomial.
10. Answer: (c) Cubic
Explanation: A polynomial of degree three is known as cubic polynomial.
11. Answer: (a) Linear
Explanation: A polynomial of degree one is known as linear polynomial.
12. Answer: (c) -6
Explanation: When x= -1
f(x)=5x−4x2+3
f(−1)=5(−1) −4(−1)2+3
=−5–4+3
=−6
13. Answer: (a) 2
Explanation: p(0)=2+0+2(0)2–(0)3=2
14. Answer: (d) -7/2
Explanation: f(x)=2x+7
⇒2x+7=0
⇒2x=−7
⇒x=−7/2
∴x = −7/2 is a zero polynomial of the polynomial f(x).
15. Answer: (c) 1/2
Explanation: The polynomial √3 can also be written as 31/2.
Hence, the degree of the polynomial √3 is 1/2.
16. Answer: (a) 0
Explanation: The degree of the constant polynomial is 0. For example, 3 is a constant polynomial that is equal to 3x0, and its degree is 0.
17. Answer: (a) (x+1)
Explanation: 3x2+8x+5 = 3x2+ 3x+5x+5
3x2+8x+5 = 3x(x+1)+5(x+1)
3x2+8x+5 = (3x+5)(x+1)
Therefore, (x+1) is one of the factors of 3x2+8x+5.
18. Answer: (b) 6
Explanation: The coefficient of x in 7x2+6x-2 is 6. Because the number multiplied by x is 6.
19. Answer: (b) 2x2+x-1
Explanation: 2x2+x-1 is a quadratic polynomial because the highest degree of the polynomial is 2.
20. Answer: (c) 24
Explanation: 72-52 = 49 – 25 = 24.
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