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Divide and simplify. (3n^(9)+6n^(5)-15n^(2))/(-3n^(4))

Divide and simplify.\newline3n9+6n5−15n2−3n4 \frac{3 n^{9}+6 n^{5}-15 n^{2}}{-3 n^{4}}

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Full solution

Q. Divide and simplify.\newline3n9+6n5−15n2−3n4 \frac{3 n^{9}+6 n^{5}-15 n^{2}}{-3 n^{4}}
  1. Identify GCF in numerator: Identify the greatest common factor in the numerator that can be divided by −3n4-3n^{4}.
  2. Divide by −3n4-3n^{4}: Divide each term in the numerator by −3n4-3n^{4}.\newline(3n9/−3n4)+(6n5/−3n4)−(15n2/−3n4)(3n^{9}/-3n^{4}) + (6n^{5}/-3n^{4}) - (15n^{2}/-3n^{4})
  3. Simplify each term: Simplify each term. −n5−2n+5n2-n^{5} - 2n + \frac{5}{n^{2}}

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