 # Factoring_Trinomials20

## Reminders:

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

x2 -x-6
where the leading coefficient = 1

## Factoring ax2 + 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 ax2 + bx + c where a ≠ 1

### Example 1: Factor -7x -15+ 2 x2 ## Factoring ax2 + bx + c where a ≠ 1

### Example 2: Factor 3x2- x-2 ## Factoring ax2 + bx + c where a ≠ 1

### Example 3: Factor 5x2 -13x- 6 ## Factoring ax2 + 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 m2 -16 ## Difference of Squares

### Rule for factoring the Difference of Squares: ## Difference of Squares

### Example 1: Factor m2-16 ## Difference of Squares

### Example 2: Factor -4+x2 ## Difference of Squares

### Example 3: Factor 49p2-a2 ## Difference of Squares

### Example 4: Factor -36a2 + 25y2 ## Difference of Squares

### Example 5: Factor -36x6y4 + 49a2 ## Factor ## Slates! Slates! Slates!

### Factor ## Slates! Slates! Slates!

### Factor  ### Have a great day!

Homework #16 (16 problems)
· Factoring Trinomials of the type
ax2 + 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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