Factoring Quadratic Trinomials

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Factoring Quadratic Trinomials
- Without a leading coefficient
- With a leading coefficient
- When first having to factor out a GCF
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XX - 28X + 75
* 75 = 3x25 = 5x15
3 + 25 = 28 = (b)
** 3: 3x3 - 28x3 + 75
9 - 84 + 75 = 0
** 25: 25x25 - 28x25 + 75
625 - 700 + 75 = 0
*** X' = 25, X"= 3./.

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2XX - 16X + 14
*. XX - 8X + 7
7 = 1x7 = 2x3, 5
7 + 1 = 8 = (b')
** 7: 2(7x7) - 16x7 + 14
98 - 112 + 14 = 0
** 1 : 2(1x1) - 16x1 + 14
2 - 16 + 14 = 0
*** X' = 7, X" = 1./.

ngocdo