Alg 1 Prestige Winter

Polynomials

100

8x³+12x²

4x²(2x+3)

200

9x²−16y²

(3x−4y)(3x+4y)

300

4x²−12x+9

(2x−3)²

400

Factor 6x⁴+21x³−12x²

3x²(2x−1)(x+4)

500

Factor x⁴−16

(x+2)(x−2)(x²+4)

Polynomial Operations

100

(2x−1)(x+4)

2x²+7x−42

200

Simplify (2x³+3x−4)+(3x³−x²−11x+10)

5x³−x²−14x+6

300

(8x³−4x2+x)−(3x³+6x−2)

5x³−4x²−5x+2

400

(8x³−12x²+4x)/4x

2x²−3x+12

500

(2x³+3x²−11x−6)/x+3

2x²−3x−2

Quadratics

100

a²-b²

(a-b)(a+b)

200

What is the quadratic formula?

-b+-sqrt(b²-4ac)/2a

300

What is the vertex of y=x²+4x+1?

(−2,−3)

400

Solve using the quadratic formula: x²+2x−4=0

x=−1±sqrt5

500

A ball is thrown upward with height (in feet) given by

h(t)=−16t²+32t+4

When does the ball reach its maximum height?

t=1

Quadratic Factoring

100

Factor x²+3x−10

(x+5)(x-2)

200

Factor 6x²−x−2

(3x−2)(2x+1)

300

Solve by factoring: 2x²+5x−3=0

x=−3,1/2

400

Solve using completing the square method:

x²+6x−7=0

x=1,-7

500

Solve using completing the square method:

3x²−10x+1=0

(5+-sqrt22)/3

Random

100

This U.S. state is known as the Sunshine State.

Florida

200

In Italy, it’s traditional to throw these out of windows for good luck on New Year’s Eve.

old items / dishes / household objects

300

This capital city is located on two continents.

Istanbul

400

In this country, people often hide a pickle ornament in the Christmas tree.

Germany

500

This number of gifts are given in the song The Twelve Days of Christmas.

364