How do you divide \frac { 42x ^ { 5} - 30x ^ { 4} + 30x ^ { 2} } { - 6x ^ { 2} }?

1 Answer
Nov 8, 2017

-7x^3 + 5x^2 - 5

Explanation:

In this case, since the numerator terms all have degrees equal to or higher than the denominator degree, we can actually just break this fraction into separate terms and simplify each:

(42x^5-30x^4+30x^2)/(-6x^2) = (42x^5)/(-6x^2) - (30x^4)/(-6x^2) + (30x^2)/(-6x^2)

= -7x^3 + 5x^2 - 5