Trinomials a = 1
Factor By Grouping
Trinomials a>1
Parts of a Polynomial
Vocabulary
100

Factor Completely:

x2 + 7x + 10

(x + 5)(x + 2)

100

Factor Completely

x3 + 3x2 + 4x + 12

(x2 + 4)(x + 3)

100

Factor Completely:

2x2 + 5x + 3

(x + 1)(2x + 3)

100

4x3 + 5x2 - 12x + 18

What is the Constant?

18

100

What does "Polynomial" mean?

Many Terms

200

Factor Completely:

x2 - 9x + 20

(x - 4)(x - 5)

200

Factor Completely:

x3 - 5x2 + 2x - 10

(x2 + 2)(x - 5)

200

Factor Completely:

6x2 + 7x + 2

(2x + 1)(3x + 2)

200

4x3 + 5x2 - 12x + 18

What is the variable?

x

200

How many terms does a binomial have?

2

300

Factor Completely:

x2 + 3x - 18

(x + 6)(x - 6)

300

Factor Completely:

3x3 - 6x2 + 5x - 10

(x - 2)(3x2 + 5)

300

Factor Completely:

3x2 - 10x + 8

(x - 2)(3x - 4)

300

4x3 + 5x2 - 12x + 18

What are the Coefficients?

4, 5, -12

300

How many terms does a trinomial have?

3

400

Factor Completely:

x2 - 5x - 24

(x - 8)(x + 3)

400

Factor Completely:

x3 + x2 - 9x - 9

(x + 1)(x2 - 9)

400

Factor Completely:

3x2 + 11x + 6

(x + 3)(3x + 2)

400

4x3 + 5x2 - 12x + 18

What are the exponents?

3, 2, 1

400

How many terms does a monomial have?

One

500

Factor Completely:

x2 - 11x + 28

(x - 7)(x - 4)

500

Factor Completely:

4x3 + 6x2 - 10x - 15

(2x + 3)(2x2 - 5)

500

Factor Completely:

4x2 - 4x - 15

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

500

4x3 + 5x2 - 12x + 18

What kind of polynomial is this?

quadrinomial

500

How many terms does a Quadrinomial have?

Four