Factoring Fundamentals
Trinomials & Grouping
Parabola Features
Graphing Quadratics
Potpourri
100
Factor 4x + 12
GCF Only:
4(x+3)
100
Factor: x2 + 7x + 12
(x + 3)(x + 4)
100
Give the vertex of
f(x) = (x − 4)² + 2
(4, 2)
100
Does g(x) = −3(x − 2)² + 1 open UP or DOWN?
Down
100
The most popular sport in the world?
Soccer (futbol)
200
Factor: x2 - 36
Diff of Squares:
(x + 6)(x - 6)
200
Factor: x2 - 5x - 14
(x + 2)(x - 7)
200
For f(x) = −2x² + 8x − 3, give the y-intercept.
(0, ?)
(0, -3)
200
A graphed quadratic has a MAXIMUM value of -5, is this opening UP or DOWN?
Down
200
Which MLB team has won the most World Series?
New York Yankees (27)
Dodgers only have 9
300
Factor completely:
6x3 + 15x2
GCF Only:
3x2(2x+5)
300
Factor by Grouping:
x2 + 3x + 2x + 6
x2 + 3x + 2x + 6
x(x + 3) 2(x +3)
(x+3)(x+2)
300
Give the x-intercepts of:
f(x) = (x − 2)(x + 6)
(2, 0) and (-6, 0)
300
What's the AOS? Given x-ints are (1,0) and (4,0)
x=2.5
300
What phrase makes up the last 4 words in the U.S. national anthem?
home of the brave
400
Factor completely:
2x2 - 50
GCF first, then Diff of Squares:
2(x2 - 50)
2(x + 5)(x - 5)
400
Factor: 2x2 + 7x + 3
2x2 + 1x + 6x + 3
x(2x + 1) 3(2x + 1)
(2x + 1)(x + 3)
400
Give the axis of symmetry of:
f(x) = x² − 8x + 7
(-(-8))/(2(1))
4
400
A parabola has vertex (3, 0) and passes through (2, 1). Name another point on the parabola.
(4, 1)
400
Jamal threw his paper plane 134 inches.
Isabella threw hers 4 yards.
Chloe threw hers 10 feet.
Who threw the furthest?
Jamal (134 inches)
Isabella (4x36 = 144 inches)
Chloe (10x12 = 120 inches)
500
Factor completely: 3x4 - 48
GCF, Diff of Squares twice
3(x4 - 16)
3(x2 + 4)(x2 - 4)
3(x2 + 4)(x + 2)(x -2)
500
Factor: 6x2 - 15x - 9
3[2x2 - 5x - 3]
3[2x2 + 1x - 6x - 3]
3[x(2x + 1) -3(2x + 1)]
3(2x + 1)(x - 3)
500
Give the vertex of:
f(x) = x² − 6x + 1
AOS: -(-6) / 2(1) = 3
f(3) = 9-18+1 = -8
(3, -8)
500
Write graphed equation in factored form:
f(x) = (x+3)(x-1)
500
The Four Corners Monument is the only place in the US where four states meet at a single point. These four states are Arizona, Colorado, New Mexico, and __?
Utah
