Factoring Quadratic Trinomials, a is 1, Positive c Value

Factoring Quadratic Trinomials, a is 1, Positive c Value ­ Notes.notebook
March 27, 2017
Mar 27­10:34 AM
Mar 27­10:53 AM
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Factoring Quadratic Trinomials, a is 1, Positive c Value ­ Notes.notebook
March 27, 2017
Mar 27­10:56 AM
unıt 10
factorıng and solvıng
quadratıcs
factorıng trınomıals
a = 1, c > 1
Apr 2­10:45 AM
2
Factoring Quadratic Trinomials, a is 1, Positive c Value ­ Notes.notebook
March 27, 2017
Warm Up
Factor out ("un­distribute") the Greatest Common
Factor of the trinomial.
9x3 + 18x2 ­ 54x
Write the following expression in factored form.
2x(x + 6) ­ 4(x + 6)
Factor the polynomial by GROUPING.
x2 + 2x + 5x + 10
Apr 2­10:45 AM
Factoring Quadratic Trinomials
a = 1, c > 0
ax2 + bx + c
x2 + 4x + 3
Apr 2­10:45 AM
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Factoring Quadratic Trinomials, a is 1, Positive c Value ­ Notes.notebook
March 27, 2017
Factoring Quadratic Trinomials
a = 1, c > 0
ax2 + bx + c
Use Double Distribution to MULTIPLY the binomials.
(x + 3)(x + 1)
What did you do with the middle terms?
What did you do to get the last term?
Apr 2­10:45 AM
Factoring Quadratic Trinomials
a = 1, c > 0
ax2 + bx + c
#1A
We can use GROUPING to factor along with the
knowledge from the slide before.
x2 + 4x + 3
ac
3
x
#
#
+
4
b
x2 + __x + __x + 3
Answer:
(
)(
)
Apr 2­10:45 AM
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Factoring Quadratic Trinomials, a is 1, Positive c Value ­ Notes.notebook
March 27, 2017
Factoring Quadratic Trinomials
a = 1, c > 0
ax2 + bx + c
#2 Factor the following trinomial.
x2 + 8x + 7
Answer:
(
)(
)
Apr 2­10:45 AM
Factoring Quadratic Trinomials
a = 1, c > 0
ax2 + bx + c
#3 Factor the following trinomial.
x2 + 11x + 28
Answer:
(
)(
)
Apr 2­10:45 AM
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Factoring Quadratic Trinomials, a is 1, Positive c Value ­ Notes.notebook
March 27, 2017
ax2 + bx + c
Factor the following trinomial.
#4
x2 + 13x + 30
Answer:
(
)(
)
Apr 2­10:45 AM
ax 2 + b x + c
Factor the following trinomial.
#5
x2 + 7x + 12
Answer:
(
)(
)
Apr 2­10:45 AM
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Factoring Quadratic Trinomials, a is 1, Positive c Value ­ Notes.notebook
March 27, 2017
ax2 + bx + c
#6
Factor the following trinomial.
x2 + 9x + 20
Answer:
(
)(
)
Apr 2­10:45 AM
ax2 + bx + c
#7
Factor the following trinomial.
x2 + 20x + 100
Answer:
(
)(
)
Apr 2­10:45 AM
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Factoring Quadratic Trinomials, a is 1, Positive c Value ­ Notes.notebook
March 27, 2017
Factoring Quadratic Trinomials
a = 1, c > 0
ax2 ­ bx + c
#13
Factor the following trinomial.
x2 ­ 16x + 28
Apr 2­10:45 AM
ax2 ­ bx + c
Factor the following trinomial.
#14
x2 ­ 11x + 24
Apr 2­10:45 AM
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Factoring Quadratic Trinomials, a is 1, Positive c Value ­ Notes.notebook
March 27, 2017
Homework:
Handout Unit 10 Lesson 4
Apr 11­6:56 AM
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