Chapter 7 Review!

Evaluating Polynomials

100

Evaluate the polynomial:

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

x = -4

x = 5

200

Evaluate the polynomial:

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

x = -3.5

x = -1.3

300

Evaluate the polynomial:

x² + 6x + 9 = 0

x = -3

400

Evaluate the polynomial:

3x² + 11x + 8 = 0

x = -2.67

x = -1

500

Evaluate the polynomial:

4x² - 25 = 0

x = -2.5

x = 2.5

Adding & Subtracting Polynomials

100

Add the polynomials:

(3x² + 2x + 4) + (4x² + 5x + 1)

7x² + 7x + 5

200

Subtract the polynomials:

(4x³ + 9x + 5) - (7x³ - 4x + 2)

-3x³ + 13x + 3

300

Add the polynomials:

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

3x⁴ + 6x³ + 7x² - 11x + 6

400

Subtract the polynomials:

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

7x⁶ + 4x⁵ - 5x³ + 7x² + 17x - 9

500

Add the polynomials:

(11x³ + 2x - 4x²) + (16 - 7x² + 2x³)

13x³ - 11x² + 2x + 16

Factoring Polynomials

100

Factor the polynomial completely:

x² + 6x + 9

(x + 3)(x + 3)

200

Factor the polynomial completely:

x² - 5x + 6

(x - 2)(x - 3)

300

Factor the polynomial completely:

2x³ + 4x² + 3x + 9

(2x² + 3)(x + 2)

400

Factor the polynomial completely:

2x² - 8x - 10

2(x + 1)(x - 5)

500

Factor the polynomial completely:

9x² - 100

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

Multiplying & Dividing Polynomials

100

Multiply the polynomials:

(x+4)(x+3)

x² + 7x + 12

200

Divide the polynomials:

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

6

300

Multiply the polynomials:

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

10x² - 29x - 21

400

Divide the polynomials:

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

4

500

Multiply the polynomials:

(2x + 3)(x² - 4x + 5)

2x³ - 5x² - 2x + 15

Polynomial Characteristics

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

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

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

10

SF = 10

Degree Name = Constant

Term Name = Monomial

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

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