The sum of money required to buy 50, ₹ 40 shares at ₹ 38.50 is :

1. ₹ 1920

2. ₹ 1924

3. ₹ 1925

4. ₹ 1952

The roots of quadratic equation x² - 1 = 0 are :

1. 0

2. 1

3. -1

4. ±1

Given, x + 2 ≤ $\dfrac{x}{3} + 3$ and x is a prime number. The solution set for x is :

1. ∅

2. {0}

3. {1}

4. {0, 1}

While factorizing a given polynomial, using remainder and factor theorem, a student finds that (2x + 1) is a factor of 2x³ + 7x² + 2x - 3.

(a) Is the student's solution correct stating that (2x + 1) is a factor of the given polynomial ? Given a valid reason for your answer.

(b) Factorize the given polynomial completely.