Question

Polynomials perimeter and area photo above

Answer 1

Answer: Perimeter
`4x^(2) -6` or
`2(2x^(2) -3)` units

Area
`-12x^(3) - 5x^(2) + 42x -20` or
`2(-6x^(3) -5x^(2) + 21x -20)` square units

Explanation:

A. Perimeter is Twice the length plus twice the length. P =2(l + w)

or P = 2L + 2W . Substitute the values given into the formula and Calculate.

P = 2[(2x + 5)(x-1) + 2(2-3x)] . becomes
`2(2x^(2) +3x -5) + 2(2-3x)`,

then
`4x^(2) + 6x - 10 - 6x +4` add like terms and simplify
`4x^(2) -6`

B. Area is Length times Width. Substitute the given values and calculate.

(2x + 5)(x-1)×(2-3x) (2x + 5)(x-1)(-3x+2)

`-12x^(3) - 5x^(2) + 42x -20`

It is difficult to imagine an actual rectangle with such dimensions. It's math theory.