Example 4: Represent changes in area using polynomials A rectangle is twice as long as it is wide Predict how the area will change if the length of the rectangle is increased by I and the width i decreased by I. Write an expression for the change in area and interpret E resuit.
Example 4: Represent changes in area using polynomials A rectangle is twice as long as it is wide Predict how the area will change if the length of the rectangle is increased by I and the width i decreased by I. Write an expression for the change in area and interpret E resuit.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Please help me with these two math questions. I just need a little more clarification on how its done
![Example 4: Represent changes in area using polynomials
A rectangle is twice as long as it is wide Predict how the area will change if the length of the retangle is
increased by I and the width idecreased by I. Write an expression for the change in area and interpret
he resuit.
Let w represent width:
A = Lxw
Restinge I
A, cw) = (2w)(w) = zw
%3D
w-l
Ac lw) = (2w+) Cw )
Rechangle 2
Zwti
= Zw? -2w w -1
Az cw) = 2w? - w -I
Change in Area: A,co)
- Ae Cw)
= 2w?
= zwz - Zu? + w tI
%3D
w>o [meanurenent
and represents with]
"w+1"
%3D
->
If w70 then wt170
positive
→ Arca of the
Change in
fist rectangle is grcate than the area of the
se cond rectangle.
area is](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fae535291-cb36-4495-affa-58c9f5843603%2Fb8b52fac-6275-46df-b16c-2f35bf19ad62%2Fsa7vtf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Example 4: Represent changes in area using polynomials
A rectangle is twice as long as it is wide Predict how the area will change if the length of the retangle is
increased by I and the width idecreased by I. Write an expression for the change in area and interpret
he resuit.
Let w represent width:
A = Lxw
Restinge I
A, cw) = (2w)(w) = zw
%3D
w-l
Ac lw) = (2w+) Cw )
Rechangle 2
Zwti
= Zw? -2w w -1
Az cw) = 2w? - w -I
Change in Area: A,co)
- Ae Cw)
= 2w?
= zwz - Zu? + w tI
%3D
w>o [meanurenent
and represents with]
"w+1"
%3D
->
If w70 then wt170
positive
→ Arca of the
Change in
fist rectangle is grcate than the area of the
se cond rectangle.
area is

Transcribed Image Text:2.2 Multiplying Polynomials
MCR3U
Example 2: Determine a simplified function that represents the volume of the given box.
Volume = lxwx h
VG) = (r +)
he jut
x +3
= (x*+2x + x+2) Cx+3)
*こwidh
wangth
I+2
x+1
%3D
(x'+ 3x +2) G
x't 3x + 32+ 9x t 2x + 6
%3D
VG) = + 6 + 11っc +6
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