Evaluating Polynomials
Adding & Subtracting Polynomials
Factoring Polynomials
Multiplying & Dividing Polynomials
Polynomial Characteristics
100

Evaluate the polynomial:

(x + 4)(x - 5) = 0

x = -4

x = 5

100

Add the polynomials:

(3x2 + 2x + 4) + (4x2 + 5x + 1)

7x2 + 7x + 5

100

Factor the polynomial completely:

x2 + 6x + 9

(x + 3)(x + 3)

100

Multiply the polynomials:

(x+4)(x+3)

x2 + 7x + 12

100

List the standard form, degree name, and term name of the following polynomial:

2x + 1

SF = 2x + 1

Degree Name = Linear

Term Name = Binomial

200

Evaluate the polynomial:

(2x + 7)(3x + 4) = 0

x = -3.5

x = -1.3

200

Subtract the polynomials:

(4x3 + 9x + 5) - (7x3 - 4x + 2)

-3x3 + 13x + 3

200

Factor the polynomial completely:

x2 - 5x + 6

(x - 2)(x - 3)

200

Divide the polynomials:

(6x+18) / (x+3)

6
200

List the standard form, degree name, and term name of the following polynomial:

4 + 9x2

SF = 9x2 + 4

Degree Name = Quadratic

Term Name = Binomial

300

Evaluate the polynomial:

x2 + 6x + 9 = 0

x = -3

300

Add the polynomials:

(3x4 + 5x2 - 19x + 10) + (6x3 + 2x2 + 8x - 4)

3x4 + 6x3 + 7x2 - 11x + 6

300

Factor the polynomial completely:

2x3 + 4x2 + 3x + 9

(2x2 + 3)(x + 2)

300

Multiply the polynomials:

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

10x2 - 29x - 21

300

List the standard form, degree name, and term name of the following polynomial:

10

SF = 10

Degree Name = Constant

Term Name = Monomial

400

Evaluate the polynomial:

3x2 + 11x + 8 = 0

x = -2.67

x = -1

400

Subtract the polynomials:

(2x6 - 4x3 + 7x2 + 14x - 9) - (-5x6 - 4x5 + x3 - 3x)

7x6 + 4x5 - 5x3 + 7x2 + 17x - 9

400

Factor the polynomial completely:

2x2 - 8x - 10

2(x + 1)(x - 5)

400

Divide the polynomials:

(4x + 12) / (x + 3)

4
400

List the standard form, degree name, and term name of the following polynomial:

x3 - 7 + 4x

SF = x3 + 4x - 7

Degree Name = Cubic

Term Name = Trinomial

500

Evaluate the polynomial:

4x2 - 25 = 0


x = -2.5

x = 2.5

500

Add the polynomials:

(11x3 + 2x - 4x2) + (16 - 7x2 + 2x3)

13x3 - 11x2 + 2x + 16

500

Factor the polynomial completely:

9x2 - 100

(3x + 10)(3x - 10)

500

Multiply the polynomials:

(2x + 3)(x2 - 4x + 5)

2x3 - 5x2 - 2x + 15

500

List the standard form, degree name, and term name of the following polynomial:

5x - 3x4 + 2 - 4x2

SF = -3x4 - 4x2 + 5x + 2

Degree Name = Quartic (4th Degree)

Term Name = Polynomial

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