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

By Matt Richardson
Last updated almost 3 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.

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?

Problem 1 Got It?

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

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

Problem 3 Got It?

Problem 3 Got It?

Problem 4 Got It?

Problem 5 Got It?

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

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

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

Review Lesson 8-4: Simplify the product.

Review Lesson 8-4: Simplify the product.

Review Lesson 8-4: Simplify the product.

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

  • x = b/a + d
  • x = ad - b
  • x = ad ÷ b

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

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

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

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)

Use Your Vocabulary: Identify the trinomials.

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

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.

Reflection: Math Success