SOLUTION: factor -9b+63

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Question 168999: factor -9b+63
Answer by Electrified_Levi(103) About Me  (Show Source):
You can put this solution on YOUR website!
Hi, Hope I can help,
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factor -9b+63
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First we need to find what is in common in both terms ( -9b and "63")
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They both have a (-9) in common, now divide both terms by (-9)
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+%28-9b%29%2F-9+ = +b+
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+63%2F-9+ = +-+7+
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Now we can combine the two answers, which equals +b+-+7+, this makes up the second factor, first is (-9)
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The factored form = +%28-9%29%28b-7%29+
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You would get the original polynomial if you used the distribution method
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+%28-9%29%28b-7%29+ = highlight+%28-9%29%28highlight%28b%29-7%29+ = highlight+%28-9%29%28b-highlight%287%29%29+, remember the signs
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+-9b+%2B+63+, our original polynomial, they most likely want you to have "b" positive, so +%28-9%29%28b-7%29+ is your answer
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Here is another way of factoring
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They both have a "9" in common, now divide both terms by "9"
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+%28-9b%29%2F9+ = +-1b+ = +-+b+
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+63%2F9+ = +7+
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Now we can combine the two answers, which equals +-b+%2B+7+, this makes up the second factor, first is "9"
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The factored form = +%289%29%28-b%2B7%29+, we can check by distribution
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+%289%29%28-b%2B7%29+ = +highlight%289%29%28highlight%28-b%29%2B7%29+ = +highlight%289%29%28-b%2Bhighlight%287%29%29+ (Remember signs)
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+-9b+%2B+63+, our original polynomial
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They most likely want your "b" to be positive, so your factored answer is
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+%28-9%29%28b-7%29+
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Hope I helped, Levi