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8-2. Factoring by GCF. Lesson Quiz. Warm Up. Lesson Presentation. Holt Algebra 1. Quiz. Homework from Tuesday, keep till I see you next. If you didn’t have it Monday or Tuesday, make sure you show me when I see you next!. Warm Up 1. 2( w + 1) 2. 3 x ( x 2 – 4). Simplify. 2 w + 2.

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8-2

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  1. 8-2 Factoring by GCF Lesson Quiz Warm Up Lesson Presentation Holt Algebra 1

  2. Quiz Homework from Tuesday, keep till I see you next. If you didn’t have it Monday or Tuesday, make sure you show me when I see you next!

  3. Warm Up 1. 2(w + 1) 2. 3x(x2 – 4) Simplify. 2w + 2 3x3 – 12x Find the GCF of each pair of monomials. 2h 3. 4h2 and 6h 13p 4. 13p and 26p5

  4. Objective Factor polynomials by using the greatest common factor.

  5. Example 1A: Factoring by Using the GCF Factor each polynomial. Check your answer. 2x2– 4 2x2 = 2x  x Find the GCF. 4 = 2 2 The GCF of 2x2 and 4 is 2. 2 Write terms as products using the GCF as a factor. 2(x2– 2) What’s left over goes in ( ). Multiply to check your answer. Check 2(x2– 2) The product is the original polynomial.  2x2– 4

  6. Writing Math Aligning common factors can help you find the greatest common factor of two or more terms.

  7. To find the GCF: 1st Find the GCF of the Coefficients. 2nd Find the GCF of the Variables. Choose the variable with smallest degree.

  8. Example 1B: Factoring by Using the GCF Factor each polynomial. Check your answer. 8x3– 4x2– 16x 8x3 = 22 2  x x  x Find the GCF. 4x2 = 22 x x 16x = 22 2  2 x The GCF of 8x3, 4x2, and 16x is 4x. Write terms as products using the GCF as a factor. 2 2x = 4x What’s left over goes in ( ). 4x(2x2–x– 4) Check 4x(2x2–x– 4) Multiply to check your answer. The product is the original polynomials. 8x3– 4x2– 16x 

  9. Example 1C: Factoring by Using the GCF Factor each polynomial. Check your answer. –14x– 12x2 Both coefficients are negative. Factor out –1. – 1(14x + 12x2) 14x = 2 7  x 12x2 = 2 2  3  x x Find the GCF. The GCF of 14x and 12x2 is 2x. 2x =2x Write each term as a product using the GCF. –1[2x(7 + 6x)] What is left over goes in ( ). –2x(7 + 6x)

  10. Example 1C: Factoring by Using the GCF Factor each polynomial. Check your answer. –14x– 12x2 Check–2x(7 + 6x) Multiply to check your answer.  –14x– 12x2 The product is the original polynomial.

  11. Caution! When you factor out –1 as the first step, be sure to include it in all the other steps as well.

  12. You try: Factoring by Using the GCF Factor the polynomial. Check your answer. 12x3y5– 60x4y3+ 30x3y3

  13. Check your answer. 6x3y3(2y2-10x+5)

  14. Assignment: Odd problems Starting with 12x2 + 3 Due Friday- Make sure you bring paper back on Friday. (Assignment on Friday on back.) Quiz Friday (evens extra credit)

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