Question Detail

MTH 101 MTH 101 Past Questions Objective Question

Question

Simplify: (3x² - 1)(x² + x + 1)
Options
A 3x⁴ + 3x³ + 2x² - x - 1
B 3x³ - 2x² + 2x - 1
C 3x³ + 2x² + 2x - 1
Correct Answer
D 3x⁴ + 3x³ + 2x² - x - 1
Correct Answer

Option C is the correct answer.

Detailed Explanation

Expanding: (3x²)(x²) = 3x⁴, (3x²)(x) = 3x³, (3x²)(1) = 3x², (-1)(x²) = -x², (-1)(x) = -x, (-1)(1) = -1. Combining: 3x⁴ + 3x³ + (3x² - x²) = 2x², then -x - 1.

Hint

The notes indicate answer C.

Question Info