HPC Unit 2

Complex Numbers and Polynomials

100

Multiplying by i is equivalent to a rotation of this degree on the complex plane

What is 90

200

5i, 4+i, and 3-2i are all roots of a polynomial. This is the minimum degree of that polynomial.

What is 6

300

f(x) = (x+3)(x^2)/(x+3)(x-2). This is the equation of the horizontal asymptote of f(x)

What is there is no horizontal asymptote

400

f(x) = (x+2)(2x-3)/(x+2)(x+6). These are the x and y coordinates of the hole

What are (-2, -7/4)

500

This is how you find the vertical asymptotes in a rational function

What is find the roots of the denominator that don't cancel with the numerator

Rule of Signs, RRT

100

f(x) has 5 sign changes, and f(-x) has 1 sign change. These are all of the possible numbers of complex roots f(x) can have

What are 0, 2, and 4

200

These are all possible rational roots of 2x⁵+10x²+7+5x

What are +/- (1/2, 1, 7/2, 7)

300

This would be the way to write (x-2/3)⁴ with no fractions inside the parentheses.

What is (1/81)(3x-2)⁴

400

Your friend is using the exact method of synthetic division we used in class to divide 38x^3 - 3x^2 + 4x +2 by 10x^2-12. This is the warning you would give to your friend.

What is you can only do synthetic division with (x+/-a)

500

This is the degree of (x+2)² (x-3)³ (x+6) (x-12)⁸

What is 14

Halloween

100

Out of the following, this is the fake cereal:

-- Count Chocula

-- Skelly Crunch 

-- Boo Berry

-- Yummy Mummy

What is Skelly Crunch

200

Daily Double! You can risk up to all of your points or 1000 (whichever is greater)

This is Shaggy's last name (from Scooby Doo)

300

Transylvania is a region in this country

What is Romania

400

This is the difference between a ghost and a ghoul

What is... the main difference is that ghosts are non-physical apparitions, but ghouls have a physical body. Ghouls are a reanimated corpse similar to a zombie, while ghosts are purely spirits of the dead.

500

This is the only standard M&M color that is not a standard Skittles color

What is brown

Random

100

Pick a number 1-4

Congratulations! You have stolen 200 points from that team (if this was your own team, your score does not change).

200

Each team nominate one person

Clap when I clap. Whoever is left at the end earns their team 500 points.

300

Pick a number 1-100

If you picked an even number, your score goes down by 300 points. If you picked an odd number, your score goes up by 300 points

400

These are the two factors that affect end behavior of a polynomial in standard form

What are sign of leading coefficient and degree

500

Daily Double! You can risk up to your whole score or 1000 points (whichever is greater)

The jingle Jake sang for team building was advertising this product