Factorization 1

Concepts

Problems

Formula

100

In this method, we simply take out the common factors among each term of the given expression.

Common Factor

100

2x² ( x-2) -7 ( x -2)

(x-2) (2x² - 7)

100

ab + ac where a = HCD

Common factor

200

In this method, you look at only two terms at a time to see if any techniques become apparent.

Grouping 4 terms

200

18x²- 39x + 20

(3x - 4)(6x - 5)

200

Grouping

No formula

300

begin with two pairs of parentheses with x at the left of each.

x 2 + bx + c

300

x²- 2x - 8

(x−4)(x+2)

300

x²+bx+c

Trinomial

400

We used two methods in class.

1. Convert coefficient into fractions

2. The term in the middle find its terms that give us the term in the formula

ax2+bx+c

400

4u² + 36u + 72

4 ( u + 6 ) ( u + 3)

400

ax²+bx+c

Trinomial

500

converting the given quadratic expression into the product of two linear factors

Quadratic Equations

500

5u² + 35u - 90

5 (u +9) ( u - 2)

500

a²+2ab+b²= (a+b)²

Quadratic trinomials