Unit 1 Review

Polynomial Classification

100

x + 3

Linear Binomial

200

x² - 2x - 9

Quadratic Trinomial

300

4x³

Cubic Monomial

400

4x⁴ - 9x³ - 2x + 7

Quartic Polynomial

500

5x⁵ - 6x³

Quintic Binomial

Add Polys

100

(4x - 5) + (9x - 15)

13x - 20

200

(4x² - 3x) + (5 + 9x)

4x² + 6x + 5

300

(x⁴ - 9 + 2x) + (-x⁴ + 2x - 9)

4x - 18

400

(-3x² - 3x - 3) + (3x² - 3x + 3)

-6x

500

(5 - 4x² - 5x + x³ - 5x⁴) + (5x + 4x² - 5 - x³ + 5x⁴)

0

Subtract Polys

100

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

4x + 10

200

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

-3x - 14

300

(x² - 3x - 5) - (-x² + 3x - 9)

2x² - 6x + 4

400

(4x² - 8 - 9x) - 4(x² - 4x + 3)

7x - 20

500

(-4a² - a³ + 5a⁴) - (6 - 6a + a⁴ - 4a⁵)

4a⁵ + 4a⁴ - a³ - 4a² + 6a - 6

Multiply Polys

100

4(x - 5)

4x - 20

200

-4x²(-x⁴ - 6)

4x⁶ + 24x²

300

(x - 3)(x + 4)

x² + x - 12

400

(x + 3)(x² - 2x - 7)

x³ + x² - 13x - 21

500

(x⁴ - 2x - x²)(-4x⁵ - 6x³ - x)

-4x⁹ - 2x⁷ + 8x⁶ + 5x⁵ + 12x⁴ + x³ + 2x²

Area and Perimeter

100

Find the perimeter of a square whose side length is 2x.

8x

200

Find the area of a rectangle whose width is 2x - 4 and length is 5x

10x² - 20x

300

Find the perimeter of a rectangle whose length is x² - 4x + 5 and width is 3x² - 9

8x² - 8x - 8

400

Find the area of a square whose sides are (3x - 8).

9x² - 48x + 64

500

Find the area of the shaded region of a rectangle by taking its outer area and subtracting the inner area.

Outer area (5x² - 9x + 13)(x - 4)

Inner area (4x)(3x - 6)

5x³ - 25x² + 73x - 52