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Algebra 1 8-5 Complete Lesson: Factoring x² + bx + c

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Last updated almost 4 years ago
28 questions
Note from the author:
A complete formative lesson with embedded slideshow, mini lecture screencasts, checks for understanding, practice items, mixed review, and reflection. I create these assignments to supplement each lesson of Pearson's Common Core Edition Algebra 1, Algebra 2, and Geometry courses. See also mathquest.net and twitter.com/mathquestEDU.
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Question 2
2.

Problem 1 Got It?

Question 3
3.

Problem 2 Got It? What is the factored form of the expression?

Question 4
4.

Problem 2 Got It? Reasoning: Can you factor the expression? Explain.

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Question 5
5.

Problem 3 Got It?

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Question 6
6.

Problem 3 Got It?

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Question 7
7.

Problem 4 Got It?

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Question 8
8.

Problem 5 Got It?

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Question 9
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Question 10
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Question 11
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Question 12
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Question 13
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Question 14
14.

Analysis: Tell whether the sum of the factors of the constant terms should be positive or negative when you factor the trinomail.

Question 15
15.

Analysis: Tell whether the sum of the factors of the constant terms should be positive or negative when you factor the trinomail.

Question 16
16.

Analysis: Tell whether the sum of the factors of the constant terms should be positive or negative when you factor the trinomail.

Question 18
18.

Review Lesson 8-4: Simplify the product.

Question 19
19.

Review Lesson 8-4: Simplify the product.

Question 20
20.

Review Lesson 8-4: Simplify the product.

Question 21
21.

Review Lesson 2-5: Solve each equation for x.

  • x = b/a + d
  • x = ad - b
  • x = ad ÷ b
Question 22
22.

Review Lesson 8-2: What is the GCF of the polynomial? Enter only a monomial.

Question 23
23.

Review Lesson 8-2: What is the GCF of the polynomial? Enter only a monomial.

Question 24
24.

Review Lesson 8-2: What is the GCF of the polynomial? Enter only a monomial.

Question 25
25.

Vocabulary Review: Use the Distributive Property. Match equivalent expressions.

  • y(y + 2)
  • (2y - 1)(y + 2)
  • y(y² + 3y - 6)
  • -1(y + 2)
  • y³ + 3y² - 6y
  • -y - 2
  • y² + 2y
  • 2y(y + 2) - 1(y + 2)
Question 26
26.

Use Your Vocabulary: Identify the trinomials.

  • h³ - 2h + 4
  • r² + 3rs - 24s²
  • d³ - c²
  • g² + g + 1
  • a² - b²
  • x³ + 7x²y + 5xy² + y³
  • Trinomials
Question 27
27.

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.

Question 28
28.

Reflection: Math Success

Question 1
1.

Solve It! The area of a rectangular solar panel is given by the trinomial below.
The height of the solar panel is given by the binomial below.
What is an expression for the length of the panel?