Quadratic Equation - MCQs | T4Tutorials.com

Question 1:

\[
\text{What is the sum of } (3x^2 + 5x – 2) \text{ and } (4x^2 – 3x + 6)?
\]
\[
\text{(a) } 7x^2 + 2x + 4, \quad \text{(b) } 7x^2 – 2x + 4, \quad \text{(c) } 7x^2 + 8x + 4, \quad \text{(d) } 7x^2 + 2x – 4
\]
Answer: A

Question 2:

\[
\text{What is the result of subtracting } (5x^3 – 2x + 7) \text{ from } (3x^3 + 4x – 5)?
\]
\[
\text{(a) } -2x^3 + 6x – 12, \quad \text{(b) } 8x^3 + 2x – 12, \quad \text{(c) } -2x^3 + 6x – 2, \quad \text{(d) } -2x^3 – 6x – 12
\]
Answer: A

Question 3:

\[
\text{Find the product: } (2x + 3)(x – 4)
\]
\[
\text{(a) } 2x^2 – 5x – 12, \quad \text{(b) } 2x^2 – 8x + 3, \quad \text{(c) } 2x^2 – 5x + 12, \quad \text{(d) } 2x^2 – 8x – 12
\]
Answer: D

Question 4:

\[
\text{Divide } (6x^2 + 5x – 6) \text{ by } (2x – 1).
\]
\[
\text{(a) } 3x + 4, \quad \text{(b) } 3x + 2, \quad \text{(c) } 3x + 3, \quad \text{(d) } 3x – 2
\]
Answer: B

Question 5:

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

Question 6:

\[
\text{If } P(x) = x^3 – 4x + 5, \text{ find } P(2).
\]
\[
\text{(a) } 3, \quad \text{(b) } 5, \quad \text{(c) } 7, \quad \text{(d) } 9
\]
Answer: A

Question 7:

\[
\text{The degree of the product } (x^2 + 3x + 2)(x – 1) \text{ is:}
\]
\[
\text{(a) } 2, \quad \text{(b) } 3, \quad \text{(c) } 4, \quad \text{(d) } 5
\]
Answer: B

Question 8:

\[
\text{Find the value of } k \text{ if } (x – 2) \text{ is a factor of } x^2 – kx + 6.
\]
\[
\text{(a) } 1, \quad \text{(b) } 2, \quad \text{(c) } 3, \quad \text{(d) } 4
\]
Answer: C

Question 9:

\[
\text{Find the coefficient of } x^2 \text{ in the product } (x + 3)(x + 4).
\]
\[
\text{(a) } 1, \quad \text{(b) } 3, \quad \text{(c) } 7, \quad \text{(d) } 12
\]
Answer: C

Question 10:

\[
\text{Which of the following polynomials is divisible by } (x + 2)?
\]
\[
\text{(a) } x^2 + 3x + 4, \quad \text{(b) } x^2 + 4x + 4,
\]
\[
\text{(c) } x^2 + 5x + 6, \quad \text{(d) } x^2 + 2x + 2
\]
Answer: C

Question 11:

\[
\text{What is the sum of the coefficients in } (x – 2)^3?
\]
\[
\text{(a) } 1, \quad \text{(b) } 0, \quad \text{(c) } 2, \quad \text{(d) } 3
\]
Answer: B

Question 12:

\[
\text{Find the remainder when } x^4 – 3x^2 + 2x + 1 \text{ is divided by } (x – 1).
\]
\[
\text{(a) } 1, \quad \text{(b) } 2, \quad \text{(c) } 3, \quad \text{(d) } 4
\]
Answer: A

Question 13:

\[
\text{Find the product } (x^2 – x + 1)(x^2 + x + 1).
\]
\[
\text{(a) } x^4 + x^2 + 1, \quad \text{(b) } x^4 – x^2 + 1,
\]
\[
\text{(c) } x^4 + 2x^2 + 1, \quad \text{(d) } x^4 – 2x^2 + 1
\]
Answer: A

Question 14:

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

Question 15:

\[
\text{What is the degree of the polynomial } (x^3 + x^2 + 1)(x^2 + 2)?
\]
\[
\text{(a) } 2, \quad \text{(b) } 3, \quad \text{(c) } 4, \quad \text{(d) } 5
\]
Answer: D

Quadratic Equation – MCQs