The area of a rectangle is m² + 2m - 80. If the length is (m + 10), what is the width? Identify the process you used/show your steps

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter4: Polynomials
Section4.9: Area Problems
Problem 1OE
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Factoring Trinomials
If the area of a rectangle is p² + 4p - 96 and the width
is p - 8 what is the length?
2
A=l·w
p²+Up-96= (p-8) (e)
factor p²+up-96
=(p-8)(p+12)
so longth p+12
p2+4p-96
(x + a)(x + b) = x² + ax + bx + ab
x² + (a + b)x+ ab
P-8
-96
-8 X 12
Transcribed Image Text:Factoring Trinomials If the area of a rectangle is p² + 4p - 96 and the width is p - 8 what is the length? 2 A=l·w p²+Up-96= (p-8) (e) factor p²+up-96 =(p-8)(p+12) so longth p+12 p2+4p-96 (x + a)(x + b) = x² + ax + bx + ab x² + (a + b)x+ ab P-8 -96 -8 X 12
The area of a rectangle is m² + 2m - 80. If the length is (m + 10), what is the width? Identify the
process you used/show your steps
Transcribed Image Text:The area of a rectangle is m² + 2m - 80. If the length is (m + 10), what is the width? Identify the process you used/show your steps
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