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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} x6
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} x2
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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