SOLUTION: Can you show me step by step on how to solve: (p^2+2p-28) / (p+7) Thank you!

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Question 475665: Can you show me step by step on how to solve: (p^2+2p-28) / (p+7)
Thank you!

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
1st, +p+ x +p+%2B+7+ = +p%5E2+%2B+7p+
Subtract this from +p%5E2+%2B+2p+-+28+
I have +-5p+-+28+ left.
+-5+ x +p+%2B+7+ = +-5p+-+35+
Subtract this from +-5p+-+28+
I have +7+ left
The answer is +p+-+5+%2B+7%2F%28p%2B7%29+
The +7%2F%28p%2B7%29+ is the remainder
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Check answer by multiplying
+p+%2B+7+ x +p+-+5+%2B+7%2F%28p%2B7%29+
I get:
+p%5E2+%2B+7p+-+5p+-+35+%2B+7+
+p%5E2+%2B+2p+-+28+
OK