Polynomials
8x3+12x2
4x2(2x+3)
(2x−1)(x+4)
2x2+7x−42
a2-b2
(a-b)(a+b)
Factor x2+3x−10
(x+5)(x-2)
This U.S. state is known as the Sunshine State.
Florida
9x2−16y2
(3x−4y)(3x+4y)
Simplify (2x3+3x−4)+(3x3−x2−11x+10)
5x3−x2−14x+6
What is the quadratic formula?
-b+-sqrt(b2-4ac)/2a
Factor 6x2−x−2
(3x−2)(2x+1)
In Italy, it’s traditional to throw these out of windows for good luck on New Year’s Eve.
old items / dishes / household objects
4x2−12x+9
(2x−3)2
(8x3−4x2+x)−(3x3+6x−2)
5x3−4x2−5x+2
What is the vertex of y=x2+4x+1?
(−2,−3)
Solve by factoring: 2x2+5x−3=0
x=−3,1/2
This capital city is located on two continents.
Istanbul
Factor 6x4+21x3−12x2
3x2(2x−1)(x+4)
(8x3−12x2+4x)/4x
2x2−3x+12
Solve using the quadratic formula: x2+2x−4=0
x=−1±sqrt5
Solve using completing the square method:
x2+6x−7=0
x=1,-7
In this country, people often hide a pickle ornament in the Christmas tree.
Germany
Factor x4−16
(x+2)(x−2)(x2+4)
(2x3+3x2−11x−6)/x+3
2x2−3x−2
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
Solve using completing the square method:
3x2−10x+1=0
(5+-sqrt22)/3
This number of gifts are given in the song The Twelve Days of Christmas.
364