How do you find the quotient of m^2 – 3m – 28 ÷ m + 4?

1 Answer
Karthik G
Dec 25, 2015

To find the quotient of this particular problem, factorize #m^2-3m-28# and divide the result by (m+4). The working and explanation given below.

Explanation:

There are many ways in which you can do this problem. If you are comfortable with factoring quadratic trinomials then the following way would be useful.

Our question is #m^2-3m-28 -: m+4#

Let us rewrite it as #(m^2-3m-28)/(m+4)#

Factoring the numerator : #m^2-3m-28 = (m-7)(m+4)#

#((m-7)(m+4))/(m+4)#
#((m-7)(cancel(m+4)))/(cancel(m+4) # #=m-7#

The quotient is #m-7#

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