Basic Concepts of Polynomial Expressions

​BASIC CONCEPTS OF POLYNOMIAL FUNCTIONS

T2 C1 S1​

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​ATTENDANCE CHECK

1. recall basic concepts of polynomials;

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2. classify algebraic expressions which are polynomials according to degree and number of terms.

​At the end of the period, I should be able to:

​OBJECTIVES

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REVIEW

OPERATIONS ON POLYNOMIAL EXPRESSIONS

Multiple Choice

Simplify: $$5x-2x+7x$$  

• 10x

• 9x

• 15x

• 11x

Multiple Choice

Simplify: $$2\left(x-4\right)$$   

• 2x-4

• 2x-8

• x-8

• 2x+8

Multiple Choice

Simplify: $$3x^3+2x^2+x^2-5x^2-1$$    

• $$3x^3-1$$  

• $$3x^3+2x^2-1$$  

• $$-x^2-1$$  

• $$3x^3-2x^2-1$$  

Multiple Choice

Simplify: $$\left(x-1\right)\left(x+2\right)$$     

• $$x^2+x-2$$   

• $$x^2-x+2$$   

• $$-x^2-1$$  

•   $$x^2-2$$  

Poll

After the review, how confident are you with simplifying polynomials?

• I am great! Let's do this!

• Not that confident but I know I can manage

• I need to brush up on my notes!

• wait, what?

activity: identify the degree of the polynomial

Multiple Choice

$$12x^3-14x^5+18x^2-2x+3$$  

• 6

• 5

• 4

• 3

Multiple Choice

$$18x^3-12x^4+3x-2x^2-5$$  

• 6

• 5

• 4

• 3

Multiple Choice

$$\left(x+3\right)^2$$  

• 6

• 5

• 2

• 1

Multiple Choice

$$25x-18x^3+20-7x^2$$  

• 4

• 3

• 2

• 1

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Classify the following according to the degree

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Multiple Choice

$$12x^3-14x^5+18x^2-2x+3$$  

• Polynomial

• Quintic

• Quartic

• Cubic

Multiple Choice

$$18x^3-12x^4+3x-2x^2$$  

• Polynomial

• Quintic

• Quartic

• Cubic

Multiple Choice

$$\left(x+3\right)^2$$   

• Quintic

• Quartic

• Quadratic

• Cubic

Multiple Choice

$$25x-18x^3+20-7x^2$$    

• Quintic

• Quartic

• Quadratic

• Cubic

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Classify the following according to the number of terms

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Multiple Choice

$$8z^2-52xyz^2+3x$$  

• multinomial

• trinomial

• binomial

• monomial

Multiple Choice

  $$3xy-2y^2$$  

• multinomial

• trinomial

• binomial

• monomial

Multiple Choice

  $$3xy^2$$   

• multinomial

• trinomial

• binomial

• monomial

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Reorder

Arrange the polynomial in standard form

• $$5x^4$$  

•   $$3x^3$$  

• x

• 2 

• $$4x^2$$   

1

2

3

4

5

• 1
• 2
• 3
• 4
• 5

Poll

After today's session, how confident are you with basic concepts of polynomial expressions? (4 being the highest and 1 being the lowest)

• 4

• 3

• 2

• 1