Factoring - Algebra 1

Definitions

100

What is the degree of a polynomial?

Is the greatest degree of any term of the polynomial

200

What is standard form of a polynomial?

What is the form of a polynomial in which the terms are written in descending order according to their degree

300

What is a binomial?

Is a mathematical expression consisting of exactly 2 terms connected by the plus or minus symbol

400

What is the Greatest common factor (GCF)?

Is the largest factor that two or more numbers have in common.

500

what is a term?

A single number or variable, or number or variables being multiplied together. Terms are separated by + or - sings

Special Cases

100

The result of factoring: 16x^{2 _}   t²

(4x - t)(4x + t)

200

The result of factoring:
x² - 25

(x - 5)(x + 5)

300

The result of factoring:
x² - 100

(x - 10)(x + 10)

400

The result of factoring:
81x² - 49

(9x - 7)(9x + 7)

500

The result of factoring:
64x² - 36

4(4x + 3)(4x - 3)

GCF

100

The GCF of:
25z² - 125xz

25z

200

The result of factoring:
8a - 16

8(a - 2)

300

The result of factoring: 2x² + 14

2(x² + 7)

400

The result of factoring:
9x² - 45x + 9

9(x² - 5x + 1)

500

The result of factoring:
-15x² + 5x

-5x(3x - 1)

Trinomial (a=1)

100

The result of factoring:
x² - 6x + 8

(x - 4)(x - 2)

200

The result of factoring:
x² + 8x + 12 

(x + 2)(x + 6)

300

The result of factoring:
x² - 10x - 24 

(x - 12)(x + 2)

400

The result of factoring:

x²+5x-36

(x-4)(x+9)

500

The result of factoring:

x² - 14x - 72

(x - 18)(x + 4)

Grouping

100

The result of factoring

12n³+4n²+3n+1

(4n²+1)(3n+1)

200

The result of factoring:

5n³-10n²+3n-6

(5n²+3)(n-2)

300

The result of factoring:

m³-m²+2m-2

(m²+2)(m-1)

400

The result of factoring:

3n³-4n²+9n-12

(n²+3)(3n-4)

500

2p³+5p²+6p+15

(p²+3)(2p+5)