Question

If the length and breadth of a rectangle are (2x – 3) units and (1 + 2x + x2) units, what is its area in polynomial form?

Answer 1

Step-by-step explanation:

For Rectangle ,

Length = (2x - 3) unit

breadth = (x² + 2x + 1) or (x + 1)² unit

Area = Length × breadth

= (2x - 3) × (x² + 2x + 1)

= 2x³ + 4x² + 2x - 3x² - 6x - 3

= 2x³ + x² - 4x - 3

Answer 2

Length: (2x-3)

Breadth: (1+2x+2x)

Area of Rectangle: Length x Breadth

                              (2x-3)(1+2x+2x)

                              (2x + 4x^2 + 4x^2) (-3 -6x -6x)

                               2x + 8x^2 -3 -12x

                              8x^2 -10x -3