Polynomial Review

Vocab

100

A polynomial with only one term.

A monomial

200

A polynomial with exactly 2 terms

A binomial

300

A polynomial with exactly 3 terms

A trinomial

400

Any number that is multiplied by a variable

A coefficient

500

The highest exponent of one of the variables of a polynomial.

Degree

Adding

100

(5x – 2 + y) + (–3y + 5x + 2)

10x – 2y

200

(t² - t + 5) + (7t² - 4t - 20)

8t² - 5t - 15

300

(5 + 24y³ - 7y²) + (-6y³ + 7y² + 5)

18y³ + 10

400

(4x² + 8x - 7) + (2x² - 5x - 12)

6x² + 3x - 19

500

(–7x³y + 4x²y² – 2) + (4x³y + 1 – 8x²y)

–3x3y – 4x2y2 – 1

Subtracting

100

(–4x + 7) – (5x – 3)

–9x + 10

200

(4x² + 8x - 7) - (2x² - 5x - 12)

2x² + 3x + 5

300

(6x⁴ + 3x³ - 1) - (4x³ - 5x + 9)

6x⁴ - x³ - 10

400

(1.5y³ + 4.8y² + 12) - (y³ - 1.7y² + 2y)

0.5y³ + 3.1y² -2y + 12

500

(5x² + 2) – (– 4x² + 7) + (– 3x² – 5)

6x² – 10

What is the Degree

100

2x

1

200

2y⁶ + 1y⁵ + -3y⁴ + 7y³ + 9y² + y + 6

6

300

16 + 8x – 12x² + 15x³ - x⁴

4

400

4x² + 6x + 5

2

500

4

0

Write in Standard Form

100

n³-5n⁵+8

-5n⁵ + n³ + 8

200

9y²+5y-3y⁸

-3y⁸ + 9y² + 5y

300

6y³+4y⁵-2y²-6y+8y⁴+7

4y⁵+8y⁴+6y³-2y²-6y+7

400

-2y + 6 

-2y + 6

500

2x⁵  - 7x + 3 - 4x⁶ + 10x⁴ - 17x³

-4x⁶ + 2x⁵ + 10x⁴ -17x³ -7x + 3