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Check: Factoring packet

Algebra 2 Lesson 5.4. Check: Factoring packet. Warm-up. Warm-up 5.4 & Daily HW Quiz. Objective. Factor and solve polynomial equations. Algebra 2. Notes 5.4 More Factoring. Example: Factor 3x 2 + 13x + 4 We will make a T to determine the coefficients of the factors.

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Check: Factoring packet

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  1. Algebra 2 Lesson 5.4 Check: Factoring packet

  2. Warm-up Warm-up 5.4 & Daily HW Quiz

  3. Objective Factor and solve polynomial equations.

  4. Algebra 2 Notes 5.4 More Factoring

  5. Example: Factor 3x2 + 13x + 4 We will make a T to determine the coefficients of the factors... Write factors of the first term in this column. Write factors of the last term in this column. How do you factor a trinomial whose leading coefficient is not 1? ( ) 3 1 2 2 3 1 1 4 These are the coefficients of the factors... ( ) (3x + 1)(x + 4) 2 + 6 ≠13 1 + 12 = 13 Multiple diagonally and add. See if the sum matches the middle term... …if not, try another combination of factors...

  6. Example: Factor 6d2 + 33d – 63 2 –3 Remember, look for the GCF first... GCF: 3 3(2d2 + 11d – 21) Now, factor the trinomial (using a T) 1 7 –3 + 14 = 11 3(2d – 3)(d + 7)

  7. Ex 1 Factor the polynomial completely a) y3-4y2-12y b) 3x3+30x2+75x c) 5g5-80g3

  8. a2+ 4ab + 4b2– 9x2 (a + 2b)2– 9x2 Now, this is the difference of 2 squares (a + 2b + 3x)(a + 2b – 3x) EX1 (d)Factor a2 + 4ab – 9x2 + 4b2 This has a perfect square trinomial hidden in it.

  9. EX 2 Factoring Sum or Difference of Cubes Sum Formula: a3+b3=(a+b)(a2-ab+b2) • x3+8

  10. Difference formula: a3-b3=(a-b)(a2+ab+b2) • 125x3-1 • 54x3-128

  11. Ex 3 Factor polynomials in quadratic form • 10x4-10 • 3m12+54m7+51m2

  12. Classwork P. 354 # 1-7

  13. EX 4 Find the real number solutions for each. • 16x3-44x2-42x=0 • 2x5=12x3-16x

  14. Classwork P. 355 # 8-10

  15. Homework p. 357 #11-37 odd, 51 (15 pts)

  16. Closure x2 + 6x – 25y2 + 9 HINT: This has a perfect square trinomial hidden in it. (x+3-5y)(x+3+5y)

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