Quiz about AA C&C Quiz REVIEW Graphs of Polynomials (Parts 1-3)

Question 1

Factor the expression.

$$x^4-6x^2+8$$

Choose ALL that apply!

Accepted Answer

$$\left(x^2-4\right)\left(x^2-2\right)$$

Accepted Answer

$$\left(x+2\right)\left(x-2\right)\left(x^2-2\right)$$

Answer

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

Answer

$$\left(x-4\right)\left(x-2\right)$$

Answer

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

Question 2

Plot the zeros of this polynomial

$$p\left(x\right)=3x\left(x-2\right)\left(2x-7\right)$$

Accepted Answer

<p></p>

Question 3

A polynomial p has zeros where $$x=\frac{3}{5},\ x=-2,\ and\ x=4.$$

What could be the equation of p?

Accepted Answer

$$p\left(x\right)=\left(5x-3\right)\left(x+2\right)\left(x-4\right)$$

Answer

$$p\left(x\right)=\left(5x+3\right)\left(x-2\right)\left(x+4\right)$$

Answer

$$p\left(x\right)=\left(3x-5\right)\left(x+2\right)\left(x-4\right)$$

Answer

$$p\left(x\right)=\left(5x-3\right)\left(x+2\right)\left(x+4\right)$$

Question 4

What could be the equation of p ?

Accepted Answer

$$p\left(x\right)=\left(x+5\right)\left(2x+3\right)\left(x-2\right)$$

Answer

$$p\left(x\right)=\left(x-5\right)\left(3x-2\right)\left(x+2\right)$$

Answer

$$p\left(x\right)=\left(x-5\right)\left(2x-3\right)\left(x+2\right)$$

Answer

$$p\left(x\right)=\left(x+5\right)\left(3x+2\right)\left(x-2\right)$$

Question 5

How does a factor's degree affect the graph's behavior at the root?

*Check ALL that apply!!

Accepted Answer

An ODD degree of 1 will CUT straight through the x-axis

Accepted Answer

An EVEN degree will BOUNCE at the x-axis

Accepted Answer

An ODD degree of 3 (or higher) will SQUIGGLE through the x-axis.

Answer

An ODD degree of 3 (or higher) will CUT straight through the x-axis.

Answer

An EVEN degree will SQUIGGLE through the x-axis

Question 6

What is the End Behavior of the given graph f(x)?

Accepted Answer

$$as\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty,$$

$$and\ as\ x\rightarrow\infty,\ f\left(x\right)\rightarrow\infty$$

Answer

$$as\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow\infty$$ $$and\ as\ x\rightarrow\infty,\ f\left(x\right)\rightarrow\infty$$

Answer

$$as\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow\infty$$ $$and\ as\ x\rightarrow\infty,\ f\left(x\right)\rightarrow-\infty$$

Answer

$$as\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty$$ $$and\ as\ x\rightarrow\infty,\ f\left(x\right)\rightarrow-\infty$$

Question 7

What is the End Behavior of f(x)?

$$f\left(x\right)=-5x^3+5x^2-245-245x$$

Accepted Answer

$$as\ x\rightarrow\infty,\ f\left(x\right)\rightarrow-\infty,$$

$$and\ as\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow\infty$$

Answer

$$as\ x\rightarrow\infty,\ f\left(x\right)\rightarrow\infty$$ $$and\ as\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow\infty$$

Answer

$$as\ x\rightarrow\infty,\ f\left(x\right)\rightarrow\infty$$ $$and\ as\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty$$

Answer

$$as\ x\rightarrow\infty,\ f\left(x\right)\rightarrow-\infty$$ $$and\ as\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty$$

Question 8

What is the End Behavior of f(x)?

$$f\left(x\right)=-28x^5+128+140x^3-4x^6-20x^4-256x+40x^2$$

Accepted Answer

$$as\ x\rightarrow\infty,\ f\left(x\right)\rightarrow-\infty$$ $$and\ as\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty$$

Answer

$$as\ x\rightarrow\infty,\ f\left(x\right)\rightarrow-\infty,$$

$$and\ as\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow\infty$$

Answer

$$as\ x\rightarrow\infty,\ f\left(x\right)\rightarrow\infty$$ $$and\ as\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow\infty$$

Answer

$$as\ x\rightarrow\infty,\ f\left(x\right)\rightarrow\infty$$ $$and\ as\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty$$

AA C&C Quiz REVIEW Graphs of Polynomials (Parts 1-3)

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