REVIEW of Polynomial Operations

Standard Form

100

Write the polynomial in standard form AND identify the lead coefficient.

2x - 3x²

-3x² + 2x

LC = -3

200

Write the polynomial in standard form AND identify the lead coefficient.

-5

-5

LC = None

300

Write the polynomial in standard form AND identify the lead coefficient.

7x² - 3 + 2x³

2x³ + 7x² - 3

LC = 2

400

Write the polynomial in standard form AND identify the degree.

2x⁵ - 7x⁷

-7x⁷ + 2x⁵

Degree: 7

500

Write the polynomial in standard form AND identify the degree.

7n⁴ - 12 + 2n⁴ - n²

9n⁴ - n² - 12

Degree: 4

Area/Perimeter

100

Find the perimeter of the rectangle.

Length: (2x - 3)

Width: (x² - x + 4)

P = 2x² + 2x + 2 units

200

Find the perimeter of the rectangle.

Length: (3x - 1)

Width: (2x + 8)

P = 10x + 14 units

300

Find the perimeter of the rectangle.

Length: (x² + 2x + 2)

Width: (x + 3)

P = 2x² + 6x+ 10 units

400

Find the area of the rectangle.

Length: (3x - 1)

Width: (2x + 8)

A = 6x² + 22x - 8 un²

500

Find the area of the rectangle.

Length: (x + 4)

Width: (x² + 3x + 6)

A = x³ + 7x² + 18x + 24 un²

POLYNOMIALS

100

An algebraic expression consisting of two terms.

Binomial

200

What is the name for a mathematical expression containing more than 3 terms?

Polynomial

300

What is the degree of this polynomial?

100x³ + 5x² + 7x⁵

5

400

Classify what type of polynomial this is? (x⁴ - 2x² + 1)

Trinomial

500

What is the following polynomial in standard form?

7 + 5x² + 3x³ - x

3x³ + 5x² - x + 7

ADD/SUBTRACT POLYNOMIALS

100

Perform the indicated operations of polynomials.

(5x² - 9x + 4) + (-2x² + 7x + 1)

3x² - 2x + 5

200

Perform the indicated operations of polynomials.

(x² - 7x + 4) - (x² + 3x + 2)

-10x + 2

300

Perform the indicated operations of polynomials.

(x³ + 1) + (4x² - 2x³ + 4)

-x³ + 4x² + 5

400

Perform the indicated operations of polynomials.

(x⁵ - 8x³ + 4x - 2) - (2x³ + 3x + 2)

x⁵ - 10x³ + x - 4

500

Perform the indicated operations of polynomials.

(x⁵ - 8x³ + 4x - 2)⁰ - (2x³ + 3x + 2)

-2x³ - 3x - 2

MULTIPLY/DIVIDE POLYNOMIALS

100

What is the product of (x + y) (x - y)?

x² - y²

200

Perform the indicated operations of polynomials.

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

20x² - 2x - 6

300

Perform the indicated operations of polynomials.

(x + 7)(x - 7)

x² - 49

400

Perform the indicated operations of polynomials.

(2x² + 4x + 10)/2

(x² + 2x + 5)

500

Perform the indicated operations of polynomials.

(10x⁵ - 15x⁴ + 20x²)/(5x²)

2x³ - 3x² + 4