Question

Factors of the polynomial 2x³ + x² – 7x – 6 are: 
1. x + 1, x – 2 and 2x + 3
2. x + 1, x + 2 and 2x + 3
3. x – 1, x + 2 and x + 3
4. None of these

Answer 1

Correct Answer - Option 1 : x + 1, x – 2 and 2x + 3

Given:

2x3 + x2 – 7x – 6

Calculation:

2x3 + x2 – 7x – 6

⇒ (x – 2) (2x² + 5x + 3)

⇒ (x – 2) (2x2 + 3x + 2x + 1)

⇒ (x – 2) (x + 1) (2x + 3)

∴ Factors of given expression are (x – 2) (x + 1) (2x + 3)