(11/11) ALG 2 Unit 3 Finding ALL Zeros & Polynonial Graphs

(11/11) ALG 2 Unit 3 Finding ALL Zeros & Polynonial Graphs

Multiple Choice

• A

• B

• C

• D

Multiple Choice

Find all zeros of the following function

 $f\left(x\right)=x^4-3x^2-54$  

•  $x=9,-9,\ i\sqrt{2},\ -i\sqrt{2}$  

•  $x=2,\ -2,\ i\sqrt{3},\ -i\sqrt{3}$  

•  $x=3,\ -3,\ i\sqrt{6},\ -i\sqrt{6}$  

•  $x=9,\ -9,\ i\sqrt{6},\ -i\sqrt{6}$  

Multiple Choice

Which of the following lists ALL the possible rational roots of   $f\left(x\right)=3x^3+9x^2+2x-9$ ?

•  $\pm3,\ \pm9$  

•  $\pm1,\pm\frac{1}{3},\pm3,\pm9$  

•  $\pm1,\pm\frac{1}{3},\pm\frac{1}{9},\pm9$  

•  $\pm1,\pm3,\pm9$  

•  $\pm1,\pm\frac{1}{3},\pm\frac{1}{9},\pm3$  

Multiple Choice

Find all the zeros of  $h\left(x\right)=x^3-2x^2\ -5x+10$ . 

•  $\sqrt{5},-\sqrt{5},\ 2$  

•  $\sqrt{5},-\sqrt{5},\ -2$  

•  $5,\ -5,\ 2$  

•  $5,\ -5,\ -2$  

• None of these are correct.

Multiple Choice

For each function, state the maximum number of turns the graph could make. f (x) = x³ − x² − 4

• 6

• 2

• 4

• 5

Multiple Choice

How would you describe the point at (1,7)?

• Relative Minimum

• Absolute Minimum

• Relative Maximum

• Absolute Maximum

Multiple Choice

How would you describe the point at (0,6)?

• Local Minimum

• Absolute Minimum

• Local Maximum

• Absolute Maximum

Multiple Choice

Which one of the following could be the polynomial seen in the image?

• y = (x + 3)(x + 1)(x − 2)

• y = -(x + 3)(x + 1)(x − 2)

• y = -(x − 3)(x + 1)(x + 2)

• y = (x + 3)(x + 1)(x + 2)

Multiple Choice

What are all the x-intercepts?

• (-2.55, 0), (2.55, 0)

• (-3,0), (-2,0), (2,0), (3,0)

• (0, 36)

• (-∞,∞)