Question

1. The area in square feet of a rectangular field is 2x2+x-15. If the length of

the field, in feet, is x + 3 what is the width in terms of x?
A. 2x+3
B. 2x-5
C. 2r-3
D. 2x+5

Answer 1

Answer: B. 2x-5

Explanation:

Decompose the polynomial into factors:

`2x^2+x-15=\\\\2x^2+6x-5x-15=\\\\2x(x+3)-5(x+3)=\\\\(x+3)(2x-5)`

`S=length*width\\\\The \ lenght=x+3\\\\Hence,\ \\\\The \ width=2x-5`