Question

For the following exercise, consider the following scenario: A school is installing a flagpole in the central plaza. The plaza is a square with side length 100 yd as shown in the figure below. The flagpole will take up a square plot with area $x^{2}-6 x+9 y \mathrm{d}^{2}$ Find the length of the base of the flagpole by factoring.

Name: Problem 54, Chapter 1: College Algebra
Uploaded: 2023-09-08T01:39:38-08:00
Duration: 1 min 4 s
Channel: Breanna Ollech
Description: For the following exercise, consider the following scenario: A school is installing a flagpole in the central plaza. The plaza is a square with side length 100 yd as shown in the figure below. The flagpole will take up a square plot with area x^2-6 x+9 y d^2 Find the length of the base of the flagpole by factoring.

   For the following exercise, consider the following scenario:
A school is installing a flagpole in the central plaza. The plaza is a square with side length 100 yd as shown in the figure below. The flagpole will take up a square plot with area $x^{2}-6 x+9 y \mathrm{d}^{2}$
Find the length of the base of the flagpole by factoring.

College Algebra

Jay Abramson 1st Edition

Chapter 1, Problem 54

Instant Answer

Solved by Expert Breanna Ollech

09/08/2023

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Step 1: The area of the base of the flagpole is given by the equation $x^{2}-6x+9$ square yards. Show more…

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For the following exercise, consider the following scenario: A school is installing a flagpole in the central plaza. The plaza is a square with side length 100 yd as shown in the figure below. The flagpole will take up a square plot with area $x^{2}-6 x+9 y \mathrm{d}^{2}$ Find the length of the base of the flagpole by factoring.

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Key Concepts

Factoring Quadratic Expressions

Factoring quadratic expressions involves rewriting a quadratic in the form ax² + bx + c as a product of two binomials. This technique is a fundamental method in algebra for simplifying expressions, solving equations, and understanding polynomial structures.

Perfect Square Trinomials

A perfect square trinomial is a specific type of quadratic expression that can be written as the square of a binomial. It takes the form a² - 2ab + b², factoring neatly into (a - b)². Recognizing this pattern aids in quickly factoring and solving quadratic problems.

Relationship Between Area and Side Length of a Square

In geometry, the area of a square is calculated by squaring the length of one of its sides. This relationship means that if the area is expressed as a square of a binomial, the side length can be determined by taking the square root of that expression.

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