Recall: Factoring Quadratic Trinomial where a = 1

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Recall Factoring Quadratic Trinomialwhere a 1
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Factor

• m2 6m 8

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Factor

• y2 12y 11

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• n2 20n 51

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Factor

• r2 2r - 48

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Factor

• w2 3w - 18

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Factor

• x2 4x - 12

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Factor

• m2 15m - 16

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Factor

• x2 4x - 32

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Factor

• 26 15b b2

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Factor

• 48 19z z2

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Topic

• Factoring Trinomials of the form ax2 bx c
  where a ? 1

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• In factoring trinomials when the coefficient of
  x2 is not equal to 1. We commonly used a trial
  and error method in factoring a trinomial in the
  form ax2 bx c, this means that we express the
  polynomials as the product of two binomials. Such
  trinomials when factored have a general form.

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• ( mx n ) ( px q )
• mpx2 ( mq np ) x nq
• Where mp a , the coefficient of x2 and is
  not equal to 1.
• mq np b, is the coefficient of x
• nq c, the third term

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Examples

• Factor 3x2 10x 7
• Solution Factor the first and last terms.
• 3x2 - 3x , x
• 7 - 7 , 1
• Write the possible factor combination, we have
• ( 3x 7 ) ( x 1 )
• (3x 1) ( x 7)
• Answer (3x7) (x1)

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• 2. Factor 6x2 7x 10
• Solution Factor the first and last terms.
• 6x2 - 6x , x, 3x, x
• -10 - -5, 2, -2, 5, -10, 1
• Answer (6x5) (x-2)

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Try this!

1. 8y2 33y 4
2. 2a2 27a 14
3. 2x2 3x 1

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Homework

• Factor the following.
• 1.) 3m2 2m 8
• 2.) 3a2 10a 8
• 3.) 6x2 x 2
• 4.) 4b2 12b 9
• 5.) 3x2 13x - 10