6.2 factoring simple quadratics objective: learn/review the basics needed for factoring

6.2Factoring Simple Quadratics

Objective: Learn/review the basics needed for factoring.

Vocabulary

• Factor• Factor Pairs• Addition• Multiplication• Product• F.O.I.L.• Division Rules

Division Rules

2345678910

even number (numbers ending in 0, 2, 4, 6, or 8)

add the digits together, is the sum divisible by 3? recursive

check the last two digits

ends in 5 or 0

divisible by 2 and 3

use calculator (there is a test, but it is very time consuming)

check the last three digits

add the digits together, is the sum divisible by 9? recursive ends in 0

Find the factor pairs of this number.

20

Sum the factor pairs of this number.

20

1 20

2 10

4 5

Find and sum the factor pairs of this number.

40

Find and sum the factor pairs of this number.

45

Find and sum the factor pairs of this number.

64

Find and sum the factor pairs of this number.

51

Find and sum the factor pairs of this number.

100

Find and sum the factor pairs of this number.

150

Factor the following expressions:x2 + 5x + 4

Step 1: Find the factors of 4 that sum to 5.

Step 2: Can you say “Template”?(x + )(x + )

Step 3: Fill in the blanks in the template with the appropriate factor pair from step 1.

(x + )(x + )4 1Step 4: F.O.I.L. to check your work.

Factor the following expressions:z2 + 9z + 8

Step 1: Find the factors of 8 that sum to 9.

Step 2: Can you say “Template”?(z + )(z + )

Step 3: Fill in the blanks in the template with the appropriate factor pair from step 1.

(z + )(z + )8 1Step 4: F.O.I.L. to check your work.

Factor the following expressions:

Step 1: Find the factors of that sum to .

Step 2: Can you say “Template”?(x + )(x + )

Step 3: Fill in the blanks in the template with the appropriate factor pair from step 1.

(x + )(x + )Step 4: F.O.I.L. to check your work.

Integer Multiplication

+ + +

- + -

+ - -

- - +

Quadratic Factoring Permutations (possibilities)

+ + both factors are positive

- - both factors are negative

+ - the factors have opposite signs

- +

There are four permutations of the signs in a quadratic equation.

x2 - 5x + 4

Factor the following expressions:

x2 - 5x + 4

Factor the following expressions:

z2 + 2z - 8

Factor the following expressions:

z2 - 3z - 10

Assignment

6.2 Worksheet