Chapter 2 Polynomials and Polynomial Functions

Exponent Properties

100

(4⁴)²

=4⁸

200

(2x⁴)³

=8x¹²

300

(x^-3y⁴)²

y⁸/x⁶

400

12³ x 12⁴

=12⁷

500

(f/f⁶)²

=1/f¹⁰

Add Subtract and Multiply Polynomials

100

(6k−7k²)+(4k²+6)

−3k²+6k+6

200

(8−5k²)−(7k²+5)

−12k²+3

300

(2x² + 5x) + (7+ 5x²−x)

7x² + 4x + 7

400

(3a + 3)(3a − 2)

9a² + 3a − 6

500

(5n + 4)(4n 2 + 2n − 4)

20n³ + 26n² − 12n − 16

Factor and Solving Polynomials

100

20b³ − 25b² + 32b − 40

(5b² + 8)(4b − 5)

200

4v³ + 32v² − 3v − 24

(4v² − 3)(v + 8)

300

p³ − 4p² − 4p + 16

(p² − 4)(p − 4)

400

x⁴ − 10x2 + 24 = 0

(x² − 6)(x − 2)(x + 2)= 0

500

x⁴ − 2x − 15

(x² + 3)(x² − 5)

Synthetic and Long Polynomial Division

100

(m² − 7m − 11) ÷ (m − 8)

m + 1 − 3 / m − 8

200

(n² − n − 29) ÷ (n − 6)

n + 5 + 1 / n − 6

300

(k² − 7k + 10) ÷ (k − 1)

k − 6 + 4 / k − 1

400

(42x² − 33) ÷ (7x + 7)

6x − 6 + 9 / 7x + 7

500

(2x² − 17x − 38) ÷ (2x + 3)

x − 10 − 8 / 2x + 3

Special questions

100

what is 2+2

4

200

what is 9+10

21

300

what shape has 8 sides

octagon

400

What has hands but can't clap

a clock

500

What has to be broken before you eat it

an egg