Question
Divide m2+7m−60 by (m−5).
Answer: Option C
:
C
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:
C
Given, the expression is
m2+7m−60(m−5).
Now, comparing the numerator with the identity x2+(a+b)x+ab
We note that,
(a+b)=7 and ab=−60.
So,
12+(−5)=7 and (12)(−5)=−60.
Hence,
m2+7m−60=m2+12m–5m–60=m(m+12)–5(m+12)=(m−5)(m+12)
Therefore,
m2+7m−60(m−5)=(m−5)(m+12)(m−5)=(m+12)
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