PreCalc Unit 2 Quiz 2 Review

 $Given\ x^3-4x^2+5x-2,\ is\ x=2\ a\ zero?$  

• yes

• no

 $Given\ 3x^3-5x^2-3x-7,\ is\ x=-1\ a\ zero?$  

• yes

• no

Find all zeros for the polynomial function P(x) = x³ -3x²-5x+15

• 3, √5 
• 3, √5, -√5
• -3, √5, -√5
• -3, 5i, -5i

Find all zeros for the polynomial function P(x)= x³-3x²+12x-10

• 1, 1-3i, 1+3i
• 1, 1+3i, -1-3i
• -1, -1+3i, -1-3i
• -1, -5, 2

Find a polynomial function of degree 3 with zeros 3i and -2.

• P(x) = x³+2x²+9x+11
• P(x) = x³-2x²+9x+18
• P(x) = x³+2x²+9x+18
• P(x) = x²-3ix+2x-6i

Factor. Find the zeros.

 $x^3+2x^2-4x-8$  

 $x^3+x^2-x\ +\ 2$  
Use the zero, x = -2, and do synthetic division.
What is the resulting quadratic?

•  $x^2-x+1$  

•  $x^2+5x\ -24$  

•  $x^2\ +3x\ +\ 5$  

•  $x^2-2x\ +\ 2$  

Assuming the scale is 1, determine where f(x) ≤ 0.

• (-oo, 2) U (2, 4)
• (-oo, 2] U [2, 4]
• (-oo, 4]
• Not given

Solve the inequality.

2x³ + 3x² - 17x - 30 < 0

• (-2.5,-2) U (3,∞)

• (-∞,-2.5] U [-2,3]

• (-∞,-2.5) U (-2,3)

• [-2.5,-2] U [3,∞)

Solve the inequality without a graph:
x⁴ + 35x² > 36

• (-oo, -6) U (-6, -1) U (-1, 1) U (1, 6) U (6, +oo)
• (-oo, -1) U (1, +oo)
• (-oo, -6) U (6 +oo)
• Not given