Question

The area of a rectangle is 2x^2-7x-15. Determine binomials that represent the length and the width if this triangle

Answer 1

Answer:

$(x-5),(2x+3)$

Step-by-step explanation:

Given: area of a rectangle is $2x^2-7x-15$

To find: binomials that represent the length and the width of the rectangle

Solution:

A polynomial that consists of two terms is known as binomial.

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

Also, area of rectangle is length × breadth

So, length × breadth = $(2x+3)(x-5)$

So, length = 2x+3, breadth = x-5 or length = x-5, breadth = 2x+3