Question

Find the quotient.
(35n3 - 30n2 + 25n) ÷ (-5n)

a) -7n^2 - 6n + 5
b) -7n^2 - 6n - 5
c) -7n^2 + 6n - 5

Answer 1

The anwer is c.

You would write the left hand expression (35n3-30n2+25n) in the numerator and the right hand expression (-5n) in the denominator. You can then separate the terms because they are added by taking each term in the numerator and putting it over the term in the denominator.

\[(35n ^{3})/(-5n) = -7n^{2}\]
\[(-30n^{2})/(-5n) = 6n\]
\[(25n)/(-5n) = -5 \]

Add each term and that is the answer.