Degree of polynomial/Leading coefficient
Dividing polynomials
Plugging in values
Find the roots/zeroes
Bad Korean jokes
100
What is the degree of y = x² + 2x + 1?
Degree = 2
100

Divide the following: (x2 + 2x + 1) / (x+1)

x+1

100
If P(x) = x² - x, what is the value of P(3)?
P(3) = 3² - 3 = 9 - 3 = 6
100
P(x) = x² + 2x + 1. Find the roots of P(x).
x² + 2x + 1 = 0; (x+1)(x+1) = 0, so x = -1 (only).
100
What is a lamb's favorite clothing?
양복.
200
What is the leading coefficient of y = 3x² + 2x + 1?
Leading coefficient = 3
200

Divide: (x2 + 2x + 4) / (x+1)

x+1 R 3 OR x + 1 + 3/(x+1)

200

If P(x) = -1 + x - x² - x³ represents a company's expected profits with "x" as the sale price, what is the expected profit for a price of $4?

P(4) = -1 + 4 - 4² + 4³ = -1 + 4 - 16 + 64 = 51

200
If P(x) = 4x² - 49, find the roots of P(x).
4x² - 49 = 0; (2x+7)(2x-7) = 0, so x = -7/2 and x = 7/2.
200

What does the music teacher use to write on the board?

An 음악-가

300
What is the degree of y = -x³ - 4x + 5?
Degree = 3
300

Divide (3x3 -5x2 +10x - 3) by (3x+1)

x2 - 2x + 4 - 7/(3x+1)

300
What is the value of P(-1) if P(x) = x³ + x² + x + 1?
P(-1) = 0
300
P(x) = x² + 9; find the zeroes.
P(x) has no real zeroes. Since x² + 9 = 0, x² = -9, which has no real solutions. The imaginary zeroes are x = 3i and x = -3i.
300
What is Anthony's girlfriend's number?
1004... she's 천사.
400
What is the leading coefficient of y = -1225 + 350x - 35x³?
-35
400

Divide 2x3 - 9x2 + 15 by 2x-5.

x2 - 2x - 5 - 10/(2x-5)

400
If P(x) = 17, what is the value of P(25)?
P(25) = 17
400
How many roots would you expect to find for a 5th degree polynomial?
You would expect to find 5 roots. (These can be a mix of both real and imaginary roots.)
400
Which company is known for how it "treats" people?
대우.
500
What are the degree and leading coefficient of y = 1?
Degree = 0, leading coefficient = 1
500

(4x4 + 3x3 + 2x + 1) / (x2 + x + 2)

4x2 - x - 7 + (11x+15)/(x2+x+2)

500

Find the y-intercept of P(x) = 225x² + 1125x + 5625.

P(0) = 5625

500
Find the 3 roots of x³ + 5x² - 4x – 20.
x³ - 4x² + 5x – 20 = (x+5)(x²-4) = 0; (x+5)(x+2)(x-2) = 0; x = -5, x = -2, and x = 2.
500
Did you hear the "rumor" about the door that can summon cows?
It's just a 소문.
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