Answer:
[tex](x-5),(2x+3)[/tex]
Step-by-step explanation:
Given: area of a rectangle is [tex]2x^2-7x-15[/tex]
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.
[tex]2x^2-7x-15=2x^2-10x+3x-15\\=2x(x-5)+3(x-5)\\=(2x+3)(x-5)[/tex]
Also, area of rectangle is length × breadth
So, length × breadth = [tex](2x+3)(x-5)[/tex]
So, length = 2x+3, breadth = x-5 or length = x-5, breadth = 2x+3
