Question

Veronica is given a rectangular piece of paper. If the length of Veronica's piece of paper is represented by x2 + 6x – 2 and the width is represented by 3x - 5, find the area of the piece of paper.

Answer 1

3x^3 +13x^2 - 36x + 10.

Explanation:

Area = length * width

= (3x - 5)(x^2 + 6x - 2)

= 3x(x^2 + 6x - 2) - 5)(x^2 + 6x - 2)

= 3x^3 + 18x^2 - 6x - 5x^2 - 30x + 10

= 3x^3 + 13x^2 - 36x + 10.