# Factoring_Trinomials20

## Reminders:

Pick up materials (notes, slates, ...)

Grade your homework in red pen

Correct any problems you get wrong ask

a neighbor or two if you need help.

· Introduction to Factoring [ 5.1, p. 311 ]· #'s 15 60

( multiples of 5)

· Factoring Trinomials x ^{2} + bx + c [ 5.2, p. 318 ]· #'s
10 55

( multiples of 5)

# Schedule for today: 18 Oct

· Homework: Grade, Stamp, Turn in

· Reminder: Exam 2 Deadline today!

· Factoring Trinomials where a ≠ 1 [5.3]

· Factoring Difference of Squares [5.4]

· Begin Homework (if there's time)

## Factoring ax ^{2} + bx + c where a ≠ 1

So far, we have restricted our trinomial factoring to trinomials like :

x^{2} -x-6

where the leading coefficient = 1

## Factoring ax^{2} + bx + c where a ≠ 1

Let's multiply two binomials to get a trinomial whose
leading

coefficient is not equal to 1:

Note: when the leading coefficient ≠ 1,

the middle coefficient is not the sum

of the last two terms !

## Factoring ax^{2} + bx + c where a ≠ 1

### Example 1: Factor -7x -15+ 2 x^{2}

## Factoring ax^{2} + bx + c where a ≠ 1

Example 2: Factor 3x^{2}- x-2

## Factoring ax^{2} + bx + c where a ≠ 1

### Example 3: Factor 5x^{2} -13x- 6

## Factoring ax^{2} + bx + c where a ≠ 1

### Practice: In your notes, factor the following trinomials

# Schedule for today: Oct

· Homework: Grade, Stamp, Turn in

· Reminder: Exam 2 Deadline today!

· Factoring Trinomials where a ≠ 1 [5.3]

· Factoring Difference of Squares [5.4]

· Begin Homework (if there's time)

## Difference of Squares

### Note: Each of the terms in the binomials below is a perfect square

## Difference of Squares

### Observe: Factor m^{2} -16

## Difference of Squares

### Rule for factoring the Difference of Squares:

## Difference of Squares

### Example 1: Factor m^{2}-16

## Difference of Squares

### Example 2: Factor -4+x^{2}

## Difference of Squares

### Example 3: Factor 49p^{2}-a^{2}

## Difference of Squares

###
Example 4: Factor -36a^{2} + 25y^{2}

## Difference of Squares

### Example 5: Factor -36x^{6}y^{4} + 49a^{2}

## Slates! Slates! Slates!

## Factor

## Slates! Slates! Slates!

### Factor

## Slates! Slates! Slates!

### Factor

### Have a great day!

Homework #16 (16 problems)

· Factoring Trinomials of the type

ax^{2} + bx + c [ 5.3, p. 328 ]

#'s 5 45

(multiples of 5)

· Factoring Difference of Squares [ 5.4, p. 336 ]

#'s 57 75

(multiples of 3)

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