Question

Fred is given a rectangular piece of paper. If the length of Fred's piece of paper is represented by 2x-6 and the width is represented by 3x-5, then the paper has a total area represented by which of the following polynomials?

Question 2 options:


4x4−26x3−16x2+44x−6



4x4−12x3−11x2+44x−6



5x4−30x3−24x2+44x−6



4x4−16x2−54x−6

Answer 1

The polynomial that represents the total area of the rectangular paper is
`6x^(2) -28x+30`

Explanation:

Fred is given a rectangular piece of paper.

• The length of Fred's piece of paper is 2x-6.
• The width of Fred's piece of paper is 3x-5.

You need to find out the total area of the rectangular piece of paper.

Area of the rectangle = length × width

⇒ (2x-6) × (3x-5)

⇒ 6x²-10x-18x+30

⇒ 6x² - 28x + 30

Therefore, the polynomial that represents the total area of the rectangular paper is
`6x^(2) -28x+30`