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Exercise

$\frac{21x^{3}+13x^{2}+18x}{3x}$

Step-by-step Solution

1

Factor the polynomial $21x^3+13x^2+18x$ by it's greatest common factor (GCF): $x$

$\frac{x\left(21x^2+13x+18\right)}{3x}$
2

Simplify the fraction $\frac{x\left(21x^2+13x+18\right)}{3x}$ by $x$

$\frac{21x^2+13x+18}{3}$

Final answer to the exercise

$\frac{21x^2+13x+18}{3}$

Try other ways to solve this exercise

  • Choose an option
  • Write in simplest form
  • Solve by quadratic formula (general formula)
  • Find the derivative using the definition
  • Simplify
  • Find the integral
  • Find the derivative
  • Factor
  • Factor by completing the square
  • Find the roots
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Main Topic: Simplification of algebraic fractions

Simplification or reduction of algebraic fractions is the action of dividing the numerator and denominator of a fraction by a common factor in order to obtain another much simpler equivalent fraction. We can say that a fraction is reduced to its simplest when there is no common factor between the numerator and the denominator.

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