A school is installing a flagpole in the central plaza. The plaza is a square with side length 100 yards as shown in the figure below. The flagpole will take up a square plot in the middle of the plaza and its base will have an area of x² 8x + 16 yd². Area of the flagpole plot: x² − 8x + 16 - 100 yards 100 yards Find the length of the base of the flagpole by factoring. (Hint: Because the area of the flagpole is an expression that involves the variable x, the length of the base will also involve the variable x.)

Elementary Algebra
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ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
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Chapter7: Factoring
Section7.2: Factor Quadratic Trinomials With Leading Coefficient 1
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A school is installing a flagpole in the central plaza. The plaza is a square with side length 100 yards as
shown in the figure below. The flagpole will take up a square plot in the middle of the plaza and its base
will have an area of x² − 8x + 16 yd².
Area of the flagpole plot: x² − 8x + 16
100 yards
100 yards
Find the length of the base of the flagpole by factoring. (Hint: Because the area of the flagpole is an
expression that involves the variable x, the length of the base will also involve the variable x .)
Transcribed Image Text:A school is installing a flagpole in the central plaza. The plaza is a square with side length 100 yards as shown in the figure below. The flagpole will take up a square plot in the middle of the plaza and its base will have an area of x² − 8x + 16 yd². Area of the flagpole plot: x² − 8x + 16 100 yards 100 yards Find the length of the base of the flagpole by factoring. (Hint: Because the area of the flagpole is an expression that involves the variable x, the length of the base will also involve the variable x .)
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