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

1 Answer
Jason K.
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#

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