1 / 13

Factoring A Quadratic Expression

Factoring A Quadratic Expression. Feb. 25, 2014. WARM – UP. 6x 6 – 4x 2 + 2x. 12x 2 y + 24xy 2 – 28xy. Greatest Common Factor (GCF) The Greatest Common Factor (GCF) is the largest numeric value and variable power that can be divided out of a polynomial.

evan-mills
Download Presentation

Factoring A Quadratic Expression

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Factoring A Quadratic Expression Feb. 25, 2014

  2. WARM – UP 6x6 – 4x2 + 2x 12x2y + 24xy2 – 28xy SWBAT Factor a Quadratic Expression

  3. Greatest Common Factor (GCF) The Greatest Common Factor (GCF) is the largest numeric value and variable power that can be divided out of a polynomial. Always start by factoring out any GCF! SWBAT Factor a Quadratic Expression

  4. Example 1: Factor 8x4 – 12x3 – 16x2 You can treat the coefficients separately from each variable. First, look for the largest value that is a factor of 8, 12, and 16. 4 is the largest value Then, for each variable, find the greatest power of that variable that can be divided out of that variable. The greatest power of x that can be divided out of x4, x3, and x2 is x2. GCF: 4x2 SWBAT Factor a Quadratic Expression

  5. Think of what will remain when you divide each term by the GCF. Writing the problem this way may help you see what the remaining factor is. **Recall that when you divide powers of a variable, you subtract the exponents. Write the GCF on the left, and the remaining factor in parentheses on the right. 4x2(2x2 – 3x – 4) SWBAT Factor a Quadratic Expression

  6. Example 2: 16x4 – 12x3 – 4x2 Be Careful of This!!! GCF: 4x2 4x2(4x2 – 3x – 1) SWBAT Factor a Quadratic Expression

  7. Practice 1: Factor each of these by determining the GCF • 12ab + 30ac 2. p + prt • 12x2y3 – 18xy4 4. 6b2 – 36b3 • 5. x3 – 3x2 + x 6. 2x4 – 6x2 + 12x6 SWBAT Factor a Quadratic Expression

  8. Example 2: Factor by Grouping When a polynomial has four terms, make two groups and factor out the GCF from each group. Factor 8x3 + 6x2 + 20x + 15 Step 1: Group terms that have common factors 8x3 + 6x2+20x + 15 Step 2: Identify and factor the GCF out of each group 2x2(4x + 3) + 5 (4x + 3) SWBAT Factor a Quadratic Expression

  9. Step 3: Factor out the common binomial factor & Regroup: (4x + 3)(2x2 + 5) Step 4: CHECK (4x + 3)(2x2 + 5) = 8x3 + 6x2 + 20x + 15 SWBAT Factor a Quadratic Expression

  10. Factor each polynomial filling in the blanks. 1. 2. 5a2 6 4 3x2 5a2 6 3x2 4 5a2 + 6 3x2 + 4 SWBAT Factor a Quadratic Expression

  11. Factor each polynomial by grouping • 3. • 4. 3x2(7x + 4) + 2(7x + 4) (3x2 + 2)(7x + 4) 10x2(4x – 5) + 3(4x – 5) (10x2 + 3)(4x – 5) SWBAT Factor a Quadratic Expression

  12. SUMMARY HW P 14/ 1-20 SWBAT Factor a Quadratic Expression

  13. A2T Apps: Greatest Common Factor Factoring EXIT TICKET QUIZ: Factor each of the following by GCF. SWBAT Factor a Quadratic Expression

More Related