Answered

Westonci.ca is your go-to source for answers, with a community ready to provide accurate and timely information. Discover precise answers to your questions from a wide range of experts on our user-friendly Q&A platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

The width,w, of a rectangular garden is X -2 the area of the garden is X^3-2X-4 what is an expression for the length of the garden?
A. X^2-2x-2
B. X^2+2x-2
C. X^2-2x+2
D. X^2+2x+2

Sagot :

naǫ
[tex]A=wl \Rightarrow l=\frac{A}{w}[/tex]
l - length, A - area, w - width

[tex]A=x^3-2x-4 \\ w=x-2 \\ \\ l=\frac{x^3-2x-4}{x-2}=\frac{x^3-2x^2+2x^2-4x+2x-4}{x-2}=\frac{x^2(x-2)+2x(x-2)+2(x-2)}{x-2}=\\ =\frac{(x^2+2x+2)(x-2)}{x-2}=x^2+2x+2[/tex]

The answer is D.
Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.