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Class 9 Mathematics Chapter 2 Polynomials discusses Polynomial Expressions, i.e., algebraic expressions with multiple variables. In this chapter you shall study Operations and terminologies related to Polynomials along with a detailed introduction of Remainder Theorem and Factor Theorem. The chapter shall also discuss further more algebraic identities related to Polynomials.
Class 9 Mathematics Chapter 2 Polynomials falls under the unit Algebra which carries a total of 20 marks with 7 questions. Read below for the Class 9 Mathematics Chapter 2 Polynomials MCQs. Find NCERT Solutions for Class 9 Mathematics here:
NCERT Solutions for Class 9 Mathematics Chapter 2
The video below explains this:
Polynomials Detailed Video Explanation:
Q1. Which of the following is the degree of 4x3-12x2+3x+9?
- 0
- 1
- 2
- 3
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The right answer is d
Explanation: In an equation, the variable whose power is at the highest level is a degree. Therefore, according to the equation 4x3-12x2+3x+9, it is hereby deduced that the degree is 3 as it has the power at the highest level as far as the variable is concerned.
Q2. What kind of polynomial is x2 – x?
- Quadratic
- Cubic
- Linear
- None of the above
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The right answer is a
Explanation: Any polynomial bearing degree 2 is a quadratic polynomial. As per the observation made from the polynomial x2 – x, the degree is 2 as it is the highest level in terms of variables. Therefore, the type of polynomial is quadratic.
Read More: Polynomials
Q3. What kind of polynomial is x – x3?
- Quadratic
- Cubic
- Linear
- None of the above
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The right answer is b
Explanation: Any polynomial bearing degree three is a cubic polynomial. As per the observation made from the polynomial x – x3, the degree is three as it is the highest level in terms of variables. Therefore, the type of polynomial is cubic.
Q4. Which of the following is the value of 72-52?
- 25
- 24
- 23
- 22
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The right answer is b
Explanation: 72 would mean 7 needs to be multiplied by 7. The outcome will be 49. 52 would mean 5 needs to be multiplied by 5. The outcome will be 24. Therefore, if 25 is subtracted from 49, the outcome will be 24. As a result, it is hereby deduced that 72-52 will be 24.
Q5. Amongst the following, which is a constant polynomial?
- 4x + 1
- 3
- 2x2
- 6x + 3
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The right answer is b
Explanation: Since 3 = 3x0, 3 is to be a constant polynomial. On the other hand, 4x + 1 and 6x + 3 are linear polynomials. Furthermore, 2x2 is a quadratic polynomial.
Q6. Which of the following is a quadratic polynomial?
- x + 3x3 + 1
- 7x + 3
- 2x2 + x - 1
- None of the above
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The right answer is c
Explanation: Since the degree at the highest level for the polynomial 2x2 + x - 1 is two according to variables, it is to be a quadratic polynomial. On the other hand, 7x + 3 is a linear polynomial. Furthermore, x + 3x3 + 1 is a polynomial that is cubic
Q7. What kind of polynomial is 1 + 3x?
- Quadratic
- Cubic
- Linear
- None of the above
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The right answer is c
Explanation: Any polynomial bearing degree one is a linear polynomial. As per the observation made from the polynomial 1 + 3x, the degree is one as it is the highest level in terms of variables. Therefore, the type of polynomial is linear in nature.
Q8. Which of the following is a binomial of degree 20?
- x20 + 1
- x2 + 20
- x/20 + 1
- 20x + 1
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The right answer is a
Explanation: Any polynomial with two terms along with degree 20 is a binomial of degree 20. As per the observation made from the polynomial x20 + 1, the degree is one as it is the highest level in terms of variables. Furthermore, the polynomial has two terms x20 and 1.
Q9. When x = -1, which of the following is the value of f(x) = 5x−4x2+3?
- 3
- -6
- -12
- 6
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The right answer is b
Explanation: If x = -1, then f(x) = 5x−4x2+3 would be f(-1) = 5(-1)−4(-1)2+3. It further results in -5-4+3. Further calculation leads to the outcome as -6. Therefore, according to the derivation, an observation can be made that the value of f(x) = 5x−4x2+3 would be -6 when x = -1.
Q10. When t = 0, which of the following is the value of p(t) = 2+t+2t2−t3?
- 4
- 1
- 2
- 0
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The right answer is c
Explanation: If t = 0, then p(t) = 2+t+2t2+t3 would be p(0) = 2+0+2(0)2+(0)2. Its further results in 2. Therefore, according to the derivation, an observation can be made that the value of p(t) = 2+t+2t2+t3 would be 2 when t = 0.
Q11. Which of the following is the zero for the polynomial f(x) = 2x + 7?
- -2/7
- 7/2
- 2/7
- -7/2
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The right answer is d.
Explanation: If f(x) = 2x + 7 and 2x + 7 = 0, then 2x = -7. Furthermore, the outcome is x = -7/2. Therefore, it is derived that the zero for the polynomial f(x) = 2x + 7 is -7/2, in accordance with the value of x which is -7/2.
Q12. Which of the following is the zero for the polynomial p(x) = cx + d?
- -d/c
- d/c
- -c
- -d
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The right answer is a.
Explanation: If p(x) = cx + d and cx + d = 0, then cx = -d. Furthermore, the outcome is x = -d/c. Therefore, it is derived that the zero for the polynomial p(x) = cx + d is -d/c, in accordance with the value of x which is -d/c.
Q13. Which of the following is the zero for the polynomial p(x) = -5x + 5?
- -5
- 0
- 1
- -1
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The right answer is b.
Explanation: If p(x) = -5x + 5 and -5x + 5 = 0, then -5x = -5. Furthermore, the outcome is x = –5/-5 which results in zero. Therefore, it is derived that the zero for the polynomial p(x) = -5x + 5 is zero, in accordance with the value of x which is zero.
Q14. Which of the following is the coefficient of x in the polynomial 7x2+6x-2?
- -2
- 6
- 7
- 2
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The right answer is b
Explanation: As per the observation made from the polynomial 7x2+6x-2, x is being multiplied by the number 6. Therefore, it is hereby deduced that 6 is the coefficient of x in the polynomial 7x2+6x-2. Furthermore, 7 cannot be the coefficient of x as it is being multiplied by x2.
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