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

Answer 1

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.

This problem can be solved in a variety of ways. The following method would be helpful if you are familiar with factoring quadratic trinomials.

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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Answer 2

Hazel Anglin

To find the quotient of m^2 – 3m – 28 ÷ m + 4, you can use long division or synthetic division.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.