Classifying Polynomials
End Behavior
Polynomial Factors and Zeros
Adding and subtracting Polynomials and binomials
Dividing Polynomials
100
Write the polynomial in standard form: 3 - 4x3 + 2x2
- 4x3 + 2x2 + 3
100
Describe the end behavior of the function: y = x2
Up, up
100
Find the zeros of the function: y = (x - 3)(x + 2)
{-2, 3}
100

(7x3 -2)+(5x3-x-3)

12x3-x-5

100
Find the remainder: 347 ÷ 16
11
200
Classify the polynomial by number of terms (provide the name): x3 + 2
Binomial
200
Describe the end behavior of the function: y = -x3
Up, down
200
Write the polynomial in factored form: x3 + 7x2 + 10x
x(x + 5)(x + 2)
200

(-x2-5x-3)-(-7x2-8x-8)

6x2+3x+5

200
Find the quotient: (x2 + 10x + 21) ÷ (x + 3)
x + 7
300
Classify the polynomial by degree (provide the name): 5x2 - 3x + 12
Quadratic
300
Describe the end behavior of the function: y = -3x2 + 4x + 1
Down, down
300
Find the zeros of the function: y = x(x + 1)(x - 7)
{-1, 0, 7}
300

(5x3+5x2+5)-(6x3-6x2+8x-5)

-x3+11x2-8x+10

300
Find the quotient and remainder: (2x2 + 7x + 8) ÷ (x + 2)
Quotient: 2x + 3, remainder: 2
400
Classify the polynomial by degree and number of terms (provide the names): -2x4
Quartic monomial
400
Describe the end behavior of the function: y = 7x3 + 2x2 - 10x + 9
Down, up
400

Write a polynomial function in standard form with the given (x-4)(x-5)

y = x2 - 9x + 20

400

Expand (x-y)4

x4-4x3y+6x2y2-4xy3+y4

400
Find the quotient and remainder: (x3 + 3x2 - x + 2) ÷ (x - 1)
Quotient: x2 + 4x + 3, remainder: 5
500
Write in standard form, then classify the polynomial by degree and number of terms (provide the names): 3x3 + 8 - x3 - 7x2
2x3 - 7x2 + 8; cubic trinomial
500
Describe the end behavior of the function and find the y-intercept: y = 7x - 5x2 + 8x
Down, down; (0,0)
500

Write a polynomial function in standard form with the given (x-1)(x+1)(x+2) 

y = x3 + 2x2 - x - 2

500

Expand (3x+2y)3

27x3+54x2y+36xy2+8y3

500
Find the quotient and remainder: (x3 + 11x + 12) ÷ (x + 3)
Quotient: x2 - 3x + 20, remainder: -48
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