Standard Form
Zeros of the Function
Synthetic Division
Imaginary solutions
End Behavior
100

Write the polynomial in standard form. Then classify it by the degree and number of terms.


7x+3x+5

10x+5; linear binomial

100

Find the zeros of the function. State the multiplicity of multiple zeros.

y=x(x-1)3

0, 1 (multiplicity of 3)

100

Divide using synthetic division.

(x3-4x2+6x-4) / (x-2)

x2-2x+2

100

Find the imaginary solutions of the equation by factoring.

x3+64=0

2+/-2i○3

100

Determine the end behavior of the graph.

y=7x3+8x2+x

up and down

200

Write the polynomial in standard form. Then classify it by the degree and number of terms.

2m2-3+7m

2m2+7m-3

quadratic trinomial

200

Find the zeros of the function. State the multiplicity of multiple zeros.

y=3x3-3x

-1, 0, 1

200

Divide.

(x3-3x2-5x-25) / (x-5)

x2+2x+5

200

Find the imaginary solutions of the equation by factoring.

x3+13x=10x2

none

200

Determine the end behavior of the graph.

y=1-4x-6x3-15x6

down and down

300

Write the polynomial in standard form. Then classify it by the degree and number of terms.

-x5

-x5

quintic monomial

300

Find the zeros of the function. State the multiplicity of multiple zeros.

y=(x-2)2(x-1)

1, 2 (multiplicity of 2)

300

Divide.

(3x3+17x2+21x-9) / (x+3)

3x2+8x-3

300

Find the imaginary solutions of the equation by factoring.

x4+7x2=18

+/-3i

300

Determine the end behavior of the graph.

y=-x5-15x7-4x9

up and down

400

Write the polynomial in standard form. Then classify it by the degree and number of terms.

6x3-x3

5x3

cubic monomial

400

Find the zeros of the function. State the multiplicity of multiple zeros.

y=(x+1)2(x-1)(x-2)

-1 (multiplicity of 2), 1, 2 

400

Divide.

(6x2-8x-2) / (x-1)

+x-2, R-4

400

Find the imaginary solutions of the equation by factoring.

8x3=1

(-1+/-i○3)/4

400

Determine the end behavior of the graph.

y=-14x6+11x5-11

down and down

500

Write the polynomial in standard form. Then classify it by the degree and number of terms.

4x+5x2+8

5x2+4x+8

quadratic trinomial 

500

Find the zeros of the function. State the multiplicity of multiple zeros.

y=(2x+3)(x-1)2

-3/2, 1 (multiplicity of 2)

500

Use synthetic division and the given factor to completely factor the polynomial function.

y=x3-4x2-9x+36 / (x+3)

(x+3)(x-4)(x-3)

500

Find the imaginary solutions of the equation by factoring.

0=x3-27

(-3+/-3i○3)/2

500

Determine the end behavior of the graph.

y=x4-7x2+3

up and up

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