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Algebra Chapter 9: Polynomials and Factoring Lesson 9-5 & Lesson 9-6: Factoring Trinomials

Algebra Chapter 9: Polynomials and Factoring Lesson 9-5 & Lesson 9-6: Factoring Trinomials. Goal : Factor trinomials of the form ax 2 + bx + c. Factoring Trinomials – Area Method.

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Algebra Chapter 9: Polynomials and Factoring Lesson 9-5 & Lesson 9-6: Factoring Trinomials

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  1. AlgebraChapter 9: Polynomials and FactoringLesson 9-5 & Lesson 9-6: Factoring Trinomials Goal: Factor trinomials of the form ax2 + bx + c.

  2. Factoring Trinomials – Area Method • 1. Factor out any common monomial factors and write the remaining trinomial in standard form. Draw a box with four sections. Enter the first and last terms along a diagonal. • 2. Multiply the two terms. Find the factor pair of the product that has a sum of bx. (List all factor pairs.) • 3. Fill in the other two sections with the factor pair. Find the GCF of each column and row. A GCF is negative if both terms are negative. • 4. Write the binomial factors of the trinomial.

  3. Factoring Trinomials – Area Method • 1. Factor out any common monomial factors and write the remaining trinomial in standard form. Draw a box with four sections. Enter the first and last terms along a diagonal.

  4. Factoring Trinomials – Area Method • 2. Multiply the two terms. Find the factor pair of the product that has a sum of bx. (List all factor pairs.)

  5. Factoring Trinomials – Area Method • 3. Fill in the other two sections with the factor pair. Find the GCF of each column and row. A GCF is negative if both terms are negative.

  6. Factoring Trinomials – Area Method • 4. Write the binomial factors of the trinomial.

  7. Examples:

  8. Examples:

  9. Assignments and a Note: • Class work: Reteaching 9-5 and 9-6. • Homework 9-5: #21, 24, 27, & 43. • Homework 9-6: #15 - 27 (every 3rd). • Tests next week.

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