Classifying Polynomials
Adding or Subtracting Polynomials
Factor
Multiplying Binomials
Mixed Practice
100

Classify: 4y + 7

Linear Binomial

100

(3x+5) + (4x+1)

7x + 6

100

Factor: 12a - 4b

4(3a - b)

100

Multiply: (x+2)(x+3)

x+ 5x + 6

100

Simplify in standard form: 8 + 4x(3x + 4)

12x2 + 16x + 8

200

Classify: 3x3

Cubic Monomial

200
(6x-7) + (4x+5)
10x-2
200

Factor: x2 - 81

(x + 9)(x - 9)

200

Multiply: (x-7)(x+2)

x2 - 5x - 14

200

Simplify and classify your answer:

3x2 + 5x - 2 - (x2 - 2x + 9)

2x2 + 7x - 11

Quadratic Trinomial

300

Classify: 4x2 + 5x + 6

Quadratic Trinomial

300

(5x-7) - (8x-2)

-3x - 5

300

Factor: x2 - 12x + 20

(x - 10) (x - 2)

300

Multiply: (2x+4)(x-8)

2x2 - 12x - 32

300

What are the possible dimensions of a rectangular garden with an area of 3x2 + 14x - 5?

The dimensions are (3x - 1) and (x + 5)

400

Classify: 7

Constant Monomial

400

(5x-3) + (4x+7) + (2x-6)

11x-2

400

Factor: 7x3 - 7x

7x(x + 1)(x - 1)

400

Multiply: (x2 - 5x + 6)(x + 3)

x3 - 2x2 - 9x + 18

400

Factor completely: 4x2 - 36

4(x + 3)(x - 3)

500

Classify: -15x2 + 3x4 - 2x + 8

Quartic Polynomial

500

Subtract -6x + 8 from 15x2 - 15x + 9

15x2 - 9x +1

500

Factor: 12x2 + 17x + 6

(4x+3)(3x+2)

500

Multiply: (x2 - 10x + 5)(x2 - 3x - 1)

x4 - 13x3 + 34x2 - 5x - 5

500

Factor Completely: 4x2 + 14x - 30


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

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