SOLUTION: How would this problem be done=> (z^3 -10z+3)/z-3 Thanks Aileen

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Question 760668: How would this problem be done=>



(z^3 -10z+3)/z-3 Thanks Aileen
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

%28z%5E3+-10z%2B3%29%2F%28z-3%29
first factor completely numerator z%5E3-10z%2B3 ....add -3z%5E2%2B3z%5E2
+z%5E3-3z%5E2%2B3z%5E2-9z-z%2B3....group
%28z%5E3-3z%5E2%29%2B%283z%5E2-9z%29-%28z-3%29....factor
z%5E2%28z-3%29%2B3z%28z-3%29-%28z-3%29
%28z%5E2%2B3z-1%29%28z-3%29.....now plug it in original equation

%28%28z%5E2%2B3z-1%29%28z-3%29%29%2F%28z-3%29....simplify

%28%28z%5E2%2B3z-1%29cross%28%28z-3%29%29%29%2Fcross%28%28z-3%29%29

z%5E2%2B3z-1
so,
%28z%5E3+-10z%2B3%29%2F%28z-3%29=z%5E2%2B3z-1%2B0%2F%28z-3%29