Question Detail

MTH 101 MTH 101 Past Questions Objective Question

Question

Evaluate (8x³ + 2x² - 4x + 2) - (-x³ + x² + 5x)
Options
A 9x³ + x² - 9x + 2
Correct Answer
B 7x³ + x² + x + 2
C 9x³ + 3x² - 9x + 2
D 7x³ + 3x² - 9x + 2
Correct Answer

Option A is the correct answer.

Detailed Explanation

(8x³ + 2x² - 4x + 2) - (-x³ + x² + 5x) = 8x³ + 2x² - 4x + 2 + x³ - x² - 5x = (8x³ + x³) + (2x² - x²) + (-4x - 5x) + 2 = 9x³ + x² - 9x + 2.

Hint

Distribute the negative sign and combine like terms.

Question Info