Dear Student, p2 - p - 42p + 6= p2 - 7p + 6p - 42p + 6= p (p - 7) + 6(p - 7)p + 6= (p + 6)(p - 7)p + 6= (p + 6)(p - 7)p + 6= p - 7 Regards

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Find the answer... 7) using factor method, divide p2-p-42 by P+6.

Dear Student,

\frac{p^{2} - p - 42}{p + 6} = \frac{p^{2} - 7 p + 6 p - 42}{p + 6} = \frac{p (p - 7) + 6 (p - 7)}{p + 6} = \frac{(p + 6) (p - 7)}{p + 6} = \frac{(p + 6) (p - 7)}{p + 6} = p - 7

Regards