Question

(06.02 MC)

Answer 1

Step-by-step explanation:

Given

• Side 1: 3x² - 2x - 1
• Side 2: 9x + 2x² - 3
• Perimeter:  5x³ + 4x² - x - 3

Part A

Sum of side lengths 1 and 2

• 3x² - 2x - 1 + 9x + 2x² - 3 =
• 5x² + 7x - 4

Part B

The perimeter is the sum of all three sides.

The length of the third side is

• P - (side 1 + side 2) =
• 5x³ + 4x² - x - 3 - (5x² + 7x - 4) =
• 5x³ + 4x² - x - 3 - 5x² - 7x + 4 =
• 5x³ - x² - 8x + 1

Part A - addition

Part B - subtraction