Question

If the area of the rectangle is given by the polynomial 2x^2-7x-15, what is the dimension of the reactangle in terms of x?​

Answer 1

• x - 5 and 2x + 3

Explanation:

Given

• Area of rectangle = 2x^2 - 7x - 15

To find

• Dimensions of rectangle

Solution

Since the area is the product of the sides, let's try to factorize the given:

• 2x^2 - 7x - 15=
• 2x^2 - 10x + 3x - 15 =
• 2x(x - 5) + 3(x - 5) =
• (x - 5)(2x + 3)

So the dimensions are:

• x - 5 and 2x + 3