Polynomials

Misc.

100

What is a polynomial with three terms called?

Trinomial

200

What do you do with exponents when you are multiplying polynomials?

Add them

300

What do you do with exponents when you are dividing polynomials?

Subtract them (cancel out)

400

What are the two questions asked before setting up synthetic and long division?

1. Is it in standard form?

2. Are any variables missing?

500

Who is the father of mathematics?

Archimedes

Addition/Subtraction

100

(3x + 4) + (2x + 7)

5x + 11

200

(5x + 2) - (4x - 3)

x + 5

300

(2x² + 5x - 3) + (2x² + 6x - 5)

4x² + 11x - 8

400

(5x² -7x - 3) - (-2x + 8)

5x² - 5x - 11

500

(5x² -7x - 3) + (-2x + 8)

5x² - 9x + 5

Multiplication

100

(2x + 2)(3x + 1)

6x² + 8x +2

200

(4x² + 5)(x - 2)

4x³ - 8x² +5x - 10

300

(x + 1)(x² +2x + 1)

x³ + 3x² +3x + 1

400

(3x + 2)(4x² - x + 3)

12x³ +5x² + 7x + 6 

500

(2x² + 4x - 6)(4x² - 5x + 7)

8x⁴ + 6x³ - 30x² + 58x - 42

Division

100

(3x + 9) / (x + 3)

3

200

x² + 5x - 24

x + 8

300

(x² - 5x - 14) / (x + 2)

x - 7

400

(20m² + 7m - 6) / (4m + 3)

5m - 2

500

(n³ + 10n² + 13n - 24) / (n² + 2n - 3)

n + 8

Factoring/Factor Theorem

100

Is (x - 3) a factor of (x² + 5x - 24)?

Yes

200

Factor x³ + x² + 4x + 4

(x + 1)(x² + 4)

300

Is (x + 2) a factor of (x⁴ - 3x³ + 5x - 6)?

No

400

Factor 2x³ + x² + 8x + 4

(2x + 1)(x² + 4)

500

Factor x³ - 2x² - 25x + 50

(x - 2)(x - 5)(x + 5)