Factor Each Trinomial:
[tex]A.)\ \textless \ br /\ \textgreater \ x {}^{2} - 2x - 24[/tex]
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Factor Each Trinomial:
[tex]A.)\ \textless \ br /\ \textgreater \ x {}^{2} - 2x - 24[/tex]
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Find to numbers whose product is –24 and whose sum is –2. For the product to be negative, one factor must be positive, and the other negative.
Factor of –24:
1, –24
–1, 24
2,–12
–2, 12
3,–8
–3, 8
4,–6
–4, 6
Sum:
–23
23
–10
–5
5
–2
2
The numbers we need are 4 and –6
When the constant term of a trinomial is negative, its factor will have different signs. The sign of the larger factor must be the same as the sign of the middle term.
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