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)
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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
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
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
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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