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Algebra 1 8-6 Complete Lesson: Factoring ax² + bx+ c
By Anita Deberry
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Last updated over 5 years ago
23 questions
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Question 2
2.
Problem 1 Got It?
Drag two binomial factors to the trinomial to represent its factored form.
(3x + 1)
(3x + 5)
(2x + 1)
(3x + 2)
6x² + 13x + 5
Question 3
3.
Problem 1 Got It? Reasoning:
Consider the trinomial below.
Suppose
ac
is positive and
b
is negative. What do you know about the factors of
ac
?
The factors of
ac
are both negative.
The factors of
ac
are both positive.
One of the factors of
ac
is positive and the other is negative.
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Question 4
4.
Problem 2 Got It?
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Question 5
5.
Problem 3 Got It?
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Question 6
6.
Problem 4 Got It?
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Question 8
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Question 11
11.
Reasoning:
Explain why you cannot factor the trinomial.
Question 12
12.
Reasoning:
To factor the trinomial 8
x
² +
bx
+ 3, a student correctly rewrites the trinomial as 8
x
² +
px
+
qx
+ 3.
What is the value of
pq
? Enter only a number.
Question 14
14.
Review Lesson 8-5:
Identify the factored form of each expression. Check your answer.
(t + 4)(t + 11)
(t - 5)(t - 12)
(t - 4)(t + 7)
Question 15
15.
Review Lesson 2-7:
Match each proportion with its solution.
21
12.5
12
Question 16
16.
Review Lesson 8-4:
Simplify the product.
Question 17
17.
Review Lesson 8-4:
Simplify the product.
Question 18
18.
Review Lesson 8-4:
Simplify the product.
Question 19
19.
Review Lesson 8-4:
Simplify the product.
Question 20
20.
Vocabulary Review:
Complete each sentence with the correct form of the word
factor
.
factoring
factor
factored
The monomials 12x, 3x², and 6x³ have a common __?__ of 3x.
When __?__ a trinomial, begin by looking for a factor common to all three terms.
A student __?__ the expression 12x³ - 6x² into 6x²(2x - 1).
Question 21
21.
Use Your Vocabulary:
You can
rewrite
the expression below in order to factor it.
Which rewritten expression below is NOT equivalent to the original expression?
Question 22
22.
Notes:
Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.
For a refresher on the Cornell note-taking system, click here.
visibility
View drawing
Question 23
23.
Reflection:
Math Success
visibility
View drawing
Question 1
1.
Solve It!
An array of three rectangular solar panels has the area below:
The height of the array is
x
+ 3. What is the length of the array?
