The area of a rectangle is represented by the expression 2x^2 - 3x - 20in^2. I have to find the dimensions of the rectangle, include units, and leave my answers as binomials.

Answer 1

We know that the area of a rectangle is given by the formula Area = Length x Width.

We also know if we multiply a binomial expression in x (such as x +2) with another binomial expression in x then we get a quadratic expression.

Of course, we can reverse this process by factoring a quadratic expression to get 2 binomials.

2x^2 - 3x - 20 = (2x + 5)(x - 4)

Answer 2

(2x+5)(x-4)...as long as x>-2.5 so that 2x+5 is greater than 0.