3/8 Alg2: Review of Polynomial Functions

Review of Chapter 3: Piecewise-Defined Functions

Algebra 2

Morning/Afternoon/Evening Message

Happy Monday! I hope you are enjoying your asynchronous day :)

First of all, great work on your finals last week. It was a stressful and trying time, but you are strong and determined and you pushed through because you deserve success.

Today is just a review of Chapter 3: Polynomial Functions. There are a total of 9 questions. This is to prepare you to move on to the next section of Chapter 3 tomorrow!

Announcements:

Makeup work from Trimester 2 is officially no longer being accepted.

This assignment is due by 11:59 PM.

Agenda

• Learning Target

• Overview of Chapter 3 so far

• 5 questions on section 1

• 4 questions on section 2

• Learning Target check-in

Poll

Rate your current state of understanding of the learning target.

Learning Target: I can identify the key features of polynomial functions and calculate the sum, difference, and product of polynomial functions.

• 4 - I can teach it!

• 3 - I understand it.

• 2 - I'm getting there.

• 1 - I don't understand, I need some more help.

Chapter 3: Polynomial Functions

Section 1: Graphing

Section 2: Adding, Subtracting, Multiplying

(Tomorrow, Section 3: Polynomial Identities)

Let's review!

There are a total 10 questions. Use your final exam review sheet to help you if you need!

Multiple Choice

1. Identify the degree of the polynomial:

 $f\left(x\right)=x^2+9x-14x^{-9}-2x^6$  

• 1

• 2

• -9

• 6

Multiple Choice

2. Identify the leading coefficient of the polynomial:

 $f\left(x\right)=x^2+9x-14x^{-9}-2x^6$  

• 1

• -2

• -9

• -14

Multiple Choice

3. Identify the number of terms of the polynomial:

 $f\left(x\right)=x^2+9x-14x^{-9}-2x^6$  

• 1

• 2

• 4

• 5

Multiple Choice

 4. Choose the correct classification of the polynomial. $f\left(x\right)=-5x^3+8x\ -\ 4$ 

• Odd degree

  
  Positive leading coefficient

• Odd degree

  
  

  Negative leading coefficient

• Even degree

  
  

  Positive leading coefficient

• Even degree

  
  

  Negative leading coefficient

Multiple Choice

 5. Determine the end behavior of the polynomial as x approaches positive infinity: $f\left(x\right)=-5x^3+8x\ -\ 4$ 

• y approaches positive infinity

• y approaches negative infinity

Great work so far!

Only 4 more questions on section 2 and you'll be finished :)

Multiple Choice

 6. Add the polynomials.

 $\left(4a^2b-3ab^2+2ab+5\right)+\left(2a^2b+3ab^2-7ab\right)$  

•  $6a^4b^2-5a^2b^2+5$  
  

•  $6a^2b-9ab^2-14ab+5$  

•  $6a^2b-ab^2-5ab+5$  

•  $6a^2b-5ab+5$  

Multiple Choice

 7. Subtract the polynomials.

 $\left(4a^2b-3ab^2+2ab+5\right)-\left(2a^2b+3ab^2-7ab\right)$  

•  $2a^2b-6ab^2+9ab+5$  
  

•  $6a^2b-9ab^2-14ab+5$  

•  $6a^2b-ab^2-5ab+5$  

•  $6a^2b-5ab+5$  

Multiple Choice

 8. Multiply the polynomials.

 $\left(6n^2-7\right)\left(n^2+n+3\right)$  

•  $6n^4+6n^3+11n^2-7n-21$  
  

•  $6n^3+11n^2-7n$  

•  $6n^4+n^3+n^2-21$  

Multiple Choice

 9. Multiply the polynomials.

 $\left(x+2y\right)\left(x^2-xy+3y\right)$  

•  $x^3+x^2y+3xy-2xy^2+6y^2$  
  

•  $x^3-3x^2y+3xy-2xy^2+6y^2$  

•  $x^3-xy-6y^2$  

Poll

Rate your current state of understanding of the learning target.

Learning Target: I can identify the key features of polynomial functions and calculate the sum, difference, and product of polynomial functions.

• 4 - I can teach it!

• 3 - I understand it.

• 2 - I'm getting there.

• 1 - I don't understand, I need some more help.

Great work! Be sure to submit this assignment through Quizizz to receive your credit for the day.

Have a happy Monday :)