Unfair Game - Polynomials Review

Multiplying in the Dark

100

Multiply the Polynomials:

3x² (2x⁴)

6x⁶

200

Multiply the Polynomials:

(x - 3)(x + 2)

x² - x - 6

300

Multiply the Polynomials:

(2m - 1)(m + 2)

2m² + 3m - 2

400

Multiply the Polynomials:

(4n - 1)(3n + 4)

12n² + 13n - 4

500

Multiply the Polynomials:

(d + 3)(d² - 4d + 1)

d³ - d² -11d + 3

GCF, oh my!

100

Factor out the GCF

30x-42

6(5x-7)

200

Factor out the GCF

5a³+2a²

a²(5a+2)

300

Factor:

2x² - 8

2(x+2)(x-2)

400

Factor:

4p² - 256

4(p+8)(p-8)

500

Factor out the GCF

18n⁴+42nm+6n

6n(3n^3+7m+1)

Favourite 'F' Word

100

Factor:

p² +2p -35

(p-5)(p+7)

200

Factor:

z² - 4z - 21

(z+3)(z-7)

300

Factor:

-5y² - 22y - 8

(-5y-2)(y+4)

400

Factor:

x² - 3x + 4ax - 12a

(x+4a)(x-3)

500

Factor:

n³ - 9n

n(n+3)(n-3)

Solve it!

100

Solve by factoring:

x² - 25=0

x=-5 and x=5

200

Solve by factoring:

3x² - 3x - 60=0

x=-4 and x=5

300

Solve by factoring:

-5x² + x = -4

x=-4/5 and x=1

400

Solve by factoring:

30x² - 4 = 2x

x=2/5 and x=-1/3

500

Solve by factoring:

5n² - 40n = 0

n=0 and n=8

...Factor Theorem

100

True or False: Can Factor Theorem work for any polynomial?

True

200

Definition of Factor Theorem is _____________.

A polynomial, P(x), has as a factor of (x-a) if P(a)=0 and a>0<a.

300

Using factor theorem what is the value of P(3) for x²+6x-8? Is it a factor?

P(3) = (3)²+6(3)-8 = 9+18-8 = 26

400

Find the mistake:

P(x) = x²-9x+8

P(1) = 1²-9(1)+8 =1-9+8 = 0

P(-1) = (-1)²-9(-1)+8 = 1-9+8 = 0

P(-1) = (-1)²-9(-1)+8 = 1+18+8 =27

500

What are the possible guesses for (x-a) to plug into P(a)?

2x² + 3x - 2

1, -1, 2, -2, 4, -4

Random Math Trivia

100

What number doesn’t have its own Roman numeral?

Zero

200

Is negative four a natural number?

No

300

What is the only temperature that is the same in Fahrenheit and Celsius?

-40 degrees Celsius

400

What is the only number spelled with letters in alphabetical order?

Forty

500

How many seconds are in one day?

86,400 seconds