Factoring
Zeros
Systems
Quadratics
Misc.
100

x2+5x


x(x+5)

100

List the possible zeros of the polynomial y=2x^2+6x+3

+- 1, 1/2, 3, 3/2

100

The solution to this system of equations

(-2, -1)

100

List the x-intercepts for y=x2-4x-32

(8,0) and (-4,0)

100

What is the GCF of 16xy, 4x2y, and 8xy2?

4xy

200

4k2 - 12k

4k(k - 3)

200

How many possible real zeros in the function f(x)=x^4+3x^2+2x+1

4

200

The solution to this system of equations by graphing:

y = 3/4x + 4

y = -3/4x - 2

(-4, 1)

200

Solve.

4x2 = 64


x = 4 and -4

200

What is the vertex of the function f(x) = -(x - 4)2 + 3 and is the vertex a minimum or maximum?

(4, 3) and maximum

300

x2 + 10x + 16


(x + 8)(x + 2)

300

Evaluate the function f(a)=a^4+3a^3-17a^2-3a-12 at a=3

f(3)=-12

300

Solve this system of equations by substitution:

y = 1

-5x - 4y = 6

(-2, 1)

300

What transformations will occur to the graph of the function f(x)=1/3x2 - 4?

Shrink by 1/3 and translate down 4 

300

Subtract: (3x2-2x-1) - (5x2-3x+9)

-2x2 + x - 10

400

x2 - 25

(x - 5)(x + 5)

400

The slope from the points (6, 4) and (2, -4). 

2

400

Solve this system of equations by elimination:

-x + y = 8

x + 7y = 16

(-5, 3)

400

Solve 3x2-5x=3 using the quadratic formula.

x = (5 +/- √61)/6

400

What is the only difference in the graph of f(x) = -2x2 + 1 and f(x) = 2x2 + 1?

One opens up and one opens down

500
The solutions to p2 - 4p - 5 = 0

p = 5, p = -1

500

Find all zeros of the polynomial f(x)=3x^4-25x^2-18

(3,-3, (i square root 6)/3, -(i square root 6)/3

500

Solve this system of equations:

-5x - y = 27

-5x - y = 18

No solutions

500

Find the x-intercepts of f(x) = 3x2-11x-20

x = -4/3 and 5

500

Solve: 3|2x-5|>12

x>9/2 or x<1/2