Polynomials

Degree

100

8x² + 15x⁸ + 12

8

200

What is the leading coefficient?

17x + 4 - 3x²

-3

300

x²y + 3x⁴ + 8x⁴y

5

400

What is the degree of 

-15?

0

500

8xy + 14x⁸y + 16x⁵y⁴

9

Adding Polynomials

100

(2x + 5y) + (3x + 8y)

5x + 13y

200

(2x² - 4) - (x² + 3x - 3)

x² - 3x - 1

300

(3x²+24x+9x³)+(-4x-12x²+17)

9x³-9x²+20x+17

400

(x³ + 5x² – 2x) + (x³ + 3x – 6) + (–2x² + x – 2)

2x³ + 3x² + 2x – 8

500

(x³ + 3x² + 5x – 4) – (3x³ – 8x² – 5x + 6)

–2x³ + 11x² + 10x –10

Subtracting Polynomials

100

(x³ + 3x² + 5x – 4) – (3x³ – 8x² – 5x + 6)

-2x³ + 11x² + 10x - 10

200

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

-3x - 5

300

(6x³ – 2x² + 8x) – (4x³ – 11x + 10)

2x³ – 2x² + 19x – 10

400

2x+8-(3x²-4x+7)

-3x²+6x+1

500

(-3x³+4x⁸-5x²)-(-3x⁸+2x³-7x²)

7x⁸-5x³+2x²

Multiplying Polynomials

100

(x + 3)(x + 2)

x² + 5x + 6

200

A square garden has sides of (x+8) inches. What is the area?

x²+16x+64 inches²

300

A triangular swimming pool has a base of x+4 feet and a height of 2x+9 feet. What is the area? (UNITS!!!)

2x²+17x+36 feet²

400

(4x² – 4x – 7)(x + 3)

4x³ + 8x² – 19x – 21

500

(x + 2)(x³ + 3x² + 4x – 17)

x⁴ + 5x³ + 10x² – 9x – 34 

Distributing

100

-2(x⁴ -4x +14)

-2x⁴+8x-28

200

–3x(4x² – x + 10)

–12x³ + 3x² – 30x

300

2a(3a⁴ - 2a²)

6a⁵-4a³

400

-10x(-3x + 4x²)

-40x³ + 30x²

500

-3x²(12x⁵+8x³+14x-3)

-36x⁷-24x⁵-42x³+9x²