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6-4 Factoring x 2 + bx + c

6-4 Factoring x 2 + bx + c. Steve Blaylock Lakota Schools 2009-2010. A Quick Review – Try these ASAP. Multiply each of the following… 1. (x + 4) (x + 3) 2. (m - 7) (m - 2) 3. (y + 11) (y - 4) 4. (a – 14)(a + 5). Patterns We Recognize.

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6-4 Factoring x 2 + bx + c

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  1. 6-4 Factoringx2 + bx + c Steve Blaylock Lakota Schools 2009-2010

  2. A Quick Review – Try these ASAP • Multiply each of the following… • 1. (x + 4) (x + 3) • 2. (m - 7) (m - 2) • 3. (y + 11) (y - 4) • 4. (a – 14)(a + 5)

  3. Patterns We Recognize If the polynomial fits the pattern, x2 + bx + c and is factorable: It will factor to (x + __)(x + __) If the polynomial fits the pattern, x2 - bx + c and is factorable: It will factor to (x - __)(x - __) If the polynomial fits the pattern, x2 + bx - c and is factorable: It will factor to (x + __)(x - __) In general, if the sign in front of the “c” term is positive, the sign in front of the “bx” term indicates which sign you will use. If the sign in front of the “c” term is negative, the sign in front of the “bx” term helps identify where the plus and minus go.

  4. A few examples… Factor each of the following. A. x2 + 5x + 6B. x2 + 7x + 12 C. x2 – 8x + 15D. a2 + 8ab + 15b2 E. x2 – 8x - 20 F. m2 + 5mn – 14b2

  5. A few examples more… Factor each of the following. A. x2 - 4x - 12B. x2 + 5xy + 6y2 C. x2 + 9x + 14D. z2- 10z + 24 E. x2 – 25x + 144 F. 120m2- 23mn + n2

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