factoring quadratics leading coefficient is not 1

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factoring trinomials with coefficients with kuta practice 2012 per 7 AutoSave 1 March 05, 2012 AS8 Develop intellectual perseverance. CR4 Develop a capacity for working within ambiguity. Factoring Quadratics ax 2 +bx+c Leading Coefficient is NOT 1

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Page 1: Factoring Quadratics Leading Coefficient is NOT 1

factoring trinomials with coefficients  with kuta practice ­ 2012 ­ per 7

AutoSave 1

March 05, 2012

AS­8Develop intellectual perseverance.

CR­4Develop a capacity for working within ambiguity.

Factoring Quadraticsax2+bx+c 

Leading Coefficient is NOT 1

Page 2: Factoring Quadratics Leading Coefficient is NOT 1

factoring trinomials with coefficients  with kuta practice ­ 2012 ­ per 7

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March 05, 2012

Factoring Trinomials            ax2 + bx + c       ﴾quadratic coefficient >1﴿

ax2  +  bx  + c ax2  ­  bx  +  c* same signs in ( )* add factors

* Check using FOIL

When a is not 1, you need to pair up factors.

(__x + __) (__x + __) (__x ­ __) (__x ­ __)

1 ­ numbers in first blanks of the binomials have a product of a.

2 ­ numbers in last blanks of the binomials have a product of c.

3 ­ outside product and inside product have a sum of b.

Page 3: Factoring Quadratics Leading Coefficient is NOT 1

factoring trinomials with coefficients  with kuta practice ­ 2012 ­ per 7

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March 05, 2012

ex 1:    3x2 + 5x + 2 ex 2:    6x2  + 7x + 2

ex 3:    6x2 ­ 13x + 6

Page 4: Factoring Quadratics Leading Coefficient is NOT 1

factoring trinomials with coefficients  with kuta practice ­ 2012 ­ per 7

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March 05, 2012

ax2  +  bx  ­ c

ax2  ­  bx  ­  c

* opposite signs in ( )* subtract factors

outer product ­ inner product = middle term+bx or ­bx

* Check using FOIL

Page 5: Factoring Quadratics Leading Coefficient is NOT 1

factoring trinomials with coefficients  with kuta practice ­ 2012 ­ per 7

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March 05, 2012

ex 1:    6x2 ­ 41x ­ 7 ex 2:    2x2 ­ 7x ­ 4

Page 6: Factoring Quadratics Leading Coefficient is NOT 1

factoring trinomials with coefficients  with kuta practice ­ 2012 ­ per 7

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March 05, 2012

ex 4:   10x2 + 25x ­ 90

ex 3:   3x2 ­ 21x + 90

Page 7: Factoring Quadratics Leading Coefficient is NOT 1

factoring trinomials with coefficients  with kuta practice ­ 2012 ­ per 7

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March 05, 2012

Solve the quadratic equations.

ex 1:   21n2 + 14n + 7 = 6n + 11

Page 8: Factoring Quadratics Leading Coefficient is NOT 1

factoring trinomials with coefficients  with kuta practice ­ 2012 ­ per 7

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March 05, 2012

ex 2:    2x2 ­ 3x = 6

Page 9: Factoring Quadratics Leading Coefficient is NOT 1

factoring trinomials with coefficients  with kuta practice ­ 2012 ­ per 7

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March 05, 2012

Page 10: Factoring Quadratics Leading Coefficient is NOT 1

factoring trinomials with coefficients  with kuta practice ­ 2012 ­ per 7

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March 05, 2012

Page 11: Factoring Quadratics Leading Coefficient is NOT 1

factoring trinomials with coefficients  with kuta practice ­ 2012 ­ per 7

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March 05, 2012

Page 12: Factoring Quadratics Leading Coefficient is NOT 1

factoring trinomials with coefficients  with kuta practice ­ 2012 ­ per 7

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March 05, 2012