Add/Subtract
Multiply/Divide
Basics, Graph & End Behavior
Real/Complex Zeros
100

This is the sum of

( x² + 3x + 5 ) and

( 2x² - 4x -2 )

What is 3x² - x + 3

100

This is the product when

( x +3f) and ( x - 3f)

are multiplied

What is x2 - 9f2

100

This is the degree and leading coefficient of the function

f(x) = -9x5 -2x4 + x3 + 2x2 + 2x + 5

What is d=5 lc= -9

100

These are the possible zeros of the function

f(x) = -2x4 + x3 + 2x2 + 2x + 8

What is ±1,±2,±4,±8

200

This is the result when

(5x4 + 2x2 + 4x -1 )

and ( x5 + 2x4 -x -5 )

are added

What is x5 +7x4 + 2x2 + 3x - 6

200

This is the result when you divide

(3x2+7x-20) by (x+4)

What is 3x-5

200

This is the maximum number of solutions for the function

f(x) = -5x4 -8x3 -5x2 + 12x + 5

What is 4

200

These are the actual zeros of the function

f(x) = x3 + x2 - 5x + 3

What are -3 and 1

300

( 7x5 - x4 + x3 + 2x2 - 1 )

- (- 2x5 + x4 + 2x - 10 )

What is ( 9x5 -2x4 + x3 + 2x2 - 2x + 9 )

300

The product of

(w+4) and ( w2 + 6w -1 )

What is w3 +10w2 + 23w - 4

300

This is the degree and the leading coefficient of the notation

f(x) → +∞ as x → -∞ and

f(x) → -∞ as x → +∞

(The end behavior is also known as an up-down)

What is Odd exponent /Negative leading Coefficient

300

These are the zeros of the function

f(x) = x3 + 4x2 +5x + 2

What are -2, and -1

400

(-2x9 + 3x8-3x6)

- (x9+6x8-2x6 - 1 )

What is -3x9 -3x8 - x6 + 1)

400

This is the result of

(2x -3)3 when expanded.

What is 8x3-36x2 +54x -27

400

This is the degree( odd/even) and the leading coefficient(positive/negative) of this graph

What is even/positive

400

This is the only real zero of the function 

f(x) = x3 -3x2 + x -3

(Try finding it by factoring by grouping...)

What is 3

500

BE CAREFUL! This is the result when

x8 - x7 +x6 - x3 + 2x2

is subtracted from

-x8 - x7 - x6 -x3 -2x2 +1

What is -2x8 -2x6 -4x2 +1

500

This is the remainder when you divide

(3x3 -4x2 + 2x -1 ) by (x + 1)

What is -10

500

This is the degree( odd/even) and the leading coefficient(positive/negative) of this graph

What is odd/positive

500

These are the zeros of the function

f(x) = x4 - 5x2 + 4

What are -2, -1, 1 and 2