Chapter 3 Review (AA2)

Chapter 3 Review (AA2)

by Edward Jones

​Chapter 3 Test Topics

• ​3.1 Polynomials Intro and Key Features

• ​3.2 Adding, Subtracting, and Multiplying Polynomials

• ​3.3 Polynomial Shortcuts

• ​3.5 Roots/Zeros of Polynomial Functions

• ​3.7 Transformations of Polynomials

Multiple Choice

Determine the degree and leading coefficient of the following polynomial function:

$$f\left(x\right)=7x^6-2x^5+9x^4-3x^2+x+1$$  

• Degree: 18

  LC: 7

• Degree: 7

  LC: 6

• Degree: 6

  LC: 7

• Degree: 6

  LC: 1

• Degree: 5

  LC: -2

Multiple Choice

Which of these polynomials is in standard form?

• $$f\left(x\right)=x^{-2}+x+1$$  

• $$f\left(x\right)=4x^4-3x^3+x-9x^5$$  

• $$f\left(x\right)=3-x$$  

• $$f\left(x\right)=7x^3-x+5$$  

Multiple Choice

Decide if the function shown has an odd/even degree and a positive/negative leading coefficient.

• Even Degree, Negative LC

• Even Degree, Positive LC

• Odd Degree, Negative LC

• Odd Degree, Positive LC

Fill in the Blanks

How many real zeros does the function have?

Multiple Choice

State the number of turning points (extrema) the function has:

• 1 Relative Max, 1 Relative Min

• 1 Relative Max, 2 Relative Min

• 2 Relative Max, 1 Relative Min

• 2 Relative Max, 2 Relative Min

Multiple Choice

$$\left(3x^2y+4xy+xy^2\right)+\left(-xy-3xy^2+2x^2y\right)=\ \ ?$$  

• $$5xy^2$$  

• $$5x^2y-2xy^2-3xy$$  

• $$5x^2y+2xy^2+3xy$$  

• $$-x^2y+3xy$$  

Multiple Choice

$$\left(5x^2-x+7\right)-\left(3x^2-x-1\right)=\ \ \ ?$$  

• $$2x^2+8$$  

• $$5x^2-2x+8$$  

• $$-8x^2-2x+8$$  

• $$8x$$  

Multiple Choice

$$\left(4x-1\right)\left(x^2+2x+2\right)=\ \ \ ?$$  

• $$4x^3+8x^2-x-2$$  

• $$4x^3+6x^2+8x-2$$  

• $$4x^3+7x^2+6x-2$$  

• $$8x^3-2$$  

Multiple Choice

Using shortcuts, state which of the following is incorrect:

$$\left(a.\right)\ \ \ 4x^2-9=\left(2x+3\right)\left(2x-3\right)$$  

$$\left(b.\right)\ \ \ 9x^2+24x+16=\left(3x+4\right)^2$$  

$$\left(c.\right)\ \ \ 8x^3-27=\left(2x-3\right)\left(4x^2-6x+9\right)$$  

• Choice a.)

• Choice b.)

• Choice c.)

Multiple Select

Select ANY answer below that is a root/zero of the function:

$$f\left(x\right)=\left(x+2\right)\left(x-3\right)\left(x+1\right)$$  

• -2

• 2

• 3

• 1

• -1

Multiple Choice

The function $$f\left(x\right)=4\left(x-1\right)^2+1$$  has a parent function of $$y=x^2$$  .

Select the correct transformations of the parent to reach f(x).

• Shift left 1, vertical stretch by 4, and shift down 1

• Shift left 1, vertical compression by 4, and shift up 1

• Shift right 1, vertical stretch by 4, and shift up 1

• Shift right 1, shift up 1

​That's it!

• ​Use this Quizizz as a study guide!

• ​This simulates the test quite closely!

• ​If you struggled on a part of this, be sure to revisit that before the exam!