Polynomials

Vocabulary

100

In an expression it is the term that has no variable attached to it.

Constant

200

The name for a polynomial with 3 terms.

Trinomial

300

The number attached to a variable is this.

Coefficient

400

3x, 4y, 6x^2, 5xy are examples of this.

Monomial or Term

500

Grouping together terms that are the same (Ex: 2y+4x-5x = 2y-x)

Combining Like Terms

Exponent Rules

100

(x²yz)(x²y⁴)

x⁴y⁵z

200

(6x²y³z)(5x)(z²)

30x³y³z³

300

(2x³yz⁴)³

8x⁹y³z¹²

400

(3a³b²)⁴(4a³b⁵)

324a¹⁵b¹³

500

(2x²y * 3x³y⁵z)³

216x¹⁵y¹⁸z³

Adding and Subtracting Polynomials

100

(y² - 10xy) - (2y² + 3xy)

-y² -13xy

200

(-3y² + y) + (4y² + 6y)

y² +7y

300

(2x² + 5x - 3) - (3x³ + 2x - 5)

-3x³ + 2x² +3x + 2

400

Subtract the polynomials and write the answer in standard form:

(-7x² - 4x - 7) - (7x² - 4x - 11)

-14x² + 4

500

Add the polynomials and write the answer in standard form:

(-3x³ + x + 3x³ + x) + (2x² - 2x + 15)

2x² + 15

Multiplying Polynomials

100

(x + 4)(x - 2)

x² + 2x - 8

200

(a + 3)(a − 2)

a² + a − 6

300

(4m + 2)(4m + 5)

16m² + 28m + 10

400

(5b − 6)(5b² + 4b − 2)

25b³ − 10b² − 34b + 12

500

(8n² + n − 4)(6n² − 6n − 4)

48n⁴ − 42n³ − 62n² + 20n + 16

Degree of Polynomial

100

What is the degree of the polynomial?

x³y⁴

7

200

What is the degree of the polynomial?

x³ + x²

3

300

What is the degree of the polynomial?

3x⁵ + 3x⁴ + 2x + 7

5

400

What is the degree of the polynomial?

-x² + 3x - 5x⁴ + 7x 

4

500

What is the degree of the polynomial?

x²+2x+3x²y³+4x⁴

5