Problems Involving Polynomials

Problems Involving Polynomials

Giselle C. Justado

​Learning Competency

​The learner solves problems involving factors of polynomials (M8AL-Ib-2)

​Objectives

​1. Solve problems involving polynomials and their products and factors.

2. Analyze each word problem to identify the given information.

3. Develop positive attitude towards work.

Poll

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​REVIEW

Multiple Choice

Which of the following is  Common Monomial Factor?

• ax + ay + az = a (x + y + z)

• 𝑎2 − 𝑏2 = ( a + 𝑏 ) ( 𝑎 − 𝑏 )

• a³ + b³ = ( a + b ) ( a² - ab + b² )

• x2 - 2xy + y2 = (x - y)2

Multiple Choice

Which of the following is  Factoring Perfect Square Trinomial?

• ax + ay + az = a (x + y + z)

• 𝑎2 − 𝑏2 = ( a + 𝑏 ) ( 𝑎 − 𝑏 )

• a³ + b³ = ( a + b ) ( a² - ab + b² )

• x2 - 2xy + y2 = (x - y)2

Multiple Choice

Which of the following is  Factoring Sum of Two Cubes?

• ax + ay + az = a (x + y + z)

• 𝑎2 − 𝑏2 = ( a + 𝑏 ) ( 𝑎 − 𝑏 )

• a³ + b³ = ( a + b ) ( a² - ab + b² )

• x2 - 2xy + y2 = (x - y)2

Multiple Choice

Which of the following is  Factoring Difference of Two Squares?

• ax + ay + az = a (x + y + z)

• 𝑎2 − 𝑏2 = ( a + 𝑏 ) ( 𝑎 − 𝑏 )

• a³ + b³ = ( a + b ) ( a² - ab + b² )

• x2 - 2xy + y2 = (x - y)2

​Lesson Proper

​Steps in Solving Word Problems

​1.Read the problem carefully and decide what numbers

are asked for.

2.Choose a variable to represent the unknown and the

other quantities needed in terms of a variable.

3.Form the equation or inequality showing the

relationships given in the problem.

4.Solve and find the solutions of the equation or inequality.

5.Check your results with the requirements stated in the

word problem.

EXAMPLES

​ASSESSMENT

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​THANK YOU!