Divide-m-2-7m-60-by-m-5-4-m - 6-2-m - 6-m - 12-m - 12-

The correct option is C (m + 12) Given, the expression is m^2+7m 60/(m 5). Now, comparing the numerator nbsp;with the identity x^2+(a+b)x+ab We note that, (a ...

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Byju's Answer

Standard IX

Mathematics

Division of a Polynomial by a Monomial

Divide m^2+7m...

Question

$Divide m^{2} + 7 m - 60 by (m - 5) .$

4(m - 6)

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2(m + 6)

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(m + 12)

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(m - 12)

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Solution

The correct option is C
(m + 12)

Given, the expression is
$\frac{m^{2} + 7 m - 60}{(m - 5)} .$
Now, comparing the numerator with the identity $x^{2} + (a + b) x + a b$
We note that,
$(a + b) = 7 a n d a b = - 60.$
So,
$12 + (- 5) = 7 a n d (12) (- 5) = - 60$ .
Hence,
$m^{2} + 7 m - 60 = m^{2} + 12 m - 5 m - 60 = m (m + 12) - 5 (m + 12) = (m - 5) (m + 12)$
Therefore,
$\frac{m^{2} + 7 m - 60}{(m - 5)} = \frac{(m - 5) (m + 12)}{(m - 5)} = (m + 12)$

Suggest Corrections

Divide m2+7m−60 by (m−5).

$Divide m^{2} + 7 m - 60 by (m - 5) .$