Perform the division. Write the answer with positive exponents.
12x^10+30x^7 over 3x^4

Question

Perform the division. Write the answer with positive exponents.
12x^10+30x^7 over 3x^4

accessdenied · Answer

$$ \frac{12x^{10} + 30x^7}{3x^4} = \frac{12x^{10}}{3x^4} + \frac{30x^7}{3x^4} $$
We can subtract the variables' exponents, and simplify 12/3 and 30/3.
  12/3= 4, 30/3 = 10
$$ 4x^{10 - 4} + 10x^{7-4} = 4x^{6} + 10x^{3} $$

anonymous · Answer

$$4m ^{2}+9m-28 \over m+4   $$
Would that be done the same way??

accessdenied · Answer

since that one doesn't have a monomial in the denominator, we'd have to use polynomial long division or synthetic division (since its a linear expression with leading coefficient 1)

anonymous · Answer

So how would we do it with numbers? The words go over my head, sorry!!

accessdenied · Answer

Synthetic Division goes like this:
|dw:1331531091502:dw|