MCQs of Calculus

By: Prof. Dr. Fazal Rehman Shamil | Last updated: February 4, 2025

Question 1:

\[ \text{If } P(x) = x^3 – 4x^2 + 3x + 5, \text{ what is } P(2)? \] \[ \text{(a) } 1, \quad \text{(b) } 3, \quad \text{(c) } 5, \quad \text{(d) } 7 \] Answer: C

Question 2:

\[ \text{Which of the following is a polynomial?} \] \[ \text{(a) } x^2 + \frac{1}{x}, \quad \text{(b) } 3x^4 + 2x – 7, \quad \text{(c) } \sqrt{x} + 5, \quad \text{(d) } x^{-3} + x \] Answer: B

Question 3:

\[ \text{If } x-2 \text{ is a factor of } P(x) = x^3 – 5x^2 + ax + 10, \text{ find } a. \] \[ \text{(a) } 3, \quad \text{(b) } 5, \quad \text{(c) } 7, \quad \text{(d) } 9 \] Answer: A

Question 4:

\[ \text{The degree of the polynomial } 7x^5 – 3x^3 + 2x^8 + 4 \text{ is:} \] \[ \text{(a) } 3, \quad \text{(b) } 5, \quad \text{(c) } 8, \quad \text{(d) } 4 \] Answer: C

Question 5:

\[ \text{What is the remainder when } x^4 + 3x^3 – 2x + 7 \text{ is divided by } x – 1? \] \[ \text{(a) } 7, \quad \text{(b) } 9, \quad \text{(c) } 6, \quad \text{(d) } 5 \] Answer: A

Question 6:

\[ \text{Which polynomial identity represents } (a+b)^3? \] \[ \text{(a) } a^3 + 3a^2b + 3ab^2 + b^3, \quad \text{(b) } a^3 – b^3, \] \[ \text{(c) } (a+b)(a-b), \quad \text{(d) } a^3 – 3a^2b + 3ab^2 – b^3 \] Answer: A

Question 7:

\[ \text{Which of the following is a monomial?} \] \[ \text{(a) } x^2 + 2x, \quad \text{(b) } 4x^3, \quad \text{(c) } 3x^2 + 5x + 7, \quad \text{(d) } x – 1 \] Answer: B

Question 8:

\[ \text{If } P(x) = x^3 + ax^2 + bx + 6 \text{ has roots } 1, 2, 3, \text{ find } a + b. \] \[ \text{(a) } -5, \quad \text{(b) } -6, \quad \text{(c) } -7, \quad \text{(d) } -8 \] Answer: B

Question 9:

\[ \text{If } P(x) = x^3 – 2x + 5, \text{ then the coefficient of } x \text{ is:} \] \[ \text{(a) } -2, \quad \text{(b) } 3, \quad \text{(c) } 5, \quad \text{(d) } 1 \] Answer: A

Question 10:

\[ \text{If } P(x) = x^4 – 3x^3 + 2x^2 – 4x + 7, \text{ then the leading coefficient is:} \] \[ \text{(a) } -3, \quad \text{(b) } 2, \quad \text{(c) } 1, \quad \text{(d) } 4 \] Answer: C

More MCQs on Calculus

  1. Functions and Models MCQs in Calculus
  2. Limits and Derivatives MCQs in Calculus
  3. Differentiation Rules MCQs in Calculus
  4. Applications of Differentiation MCQs in Calculus
  5. Integrals MCQs in Calculus
  6. Applications of Integration MCQs in Calculus
  7. Techniques of Integration MCQs in Calculus
  8. Differential Equations MCQs in Calculus
  9. Parametric Equations and Polar Coordinates MCQs in Calculus
  10. Infinite Sequences and Series MCQs in Calculus
  11. Vectors and the Geometry of Space MCQs in Calculus
  12. Vector Functions MCQs in Calculus
  13. Partial Derivatives MCQs in Calculus
  14. Multiple Integrals MCQs in Calculus
  15. Vector Calculus MCQs in Calculus
  16. Second-Order Differential Equations MCQs in Calculus

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