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Created on: 2012-03-12

A sample problem solved by Quickmath algebra calculator

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Expression

((-3)*x^4+8*x^3+30*x^2+(-72)*x-27)/(x-3)

  1. A rational expression : the top of the rational expression is a sum that contains 5 terms; the first term of the sum is equal to a product comprising 2 factors; the first factor of the product is negative three; the second factor of the product is equal to a power; the base is x; the exponent is four; the second term of the sum is a product consisting of 2 factors; the first factor of the product is equal to eight; the second factor of the product is equal to a power; the base is x; the exponent is three; the third term of the sum is equal to a product that contains 2 factors; the first factor of the product is equal to thirty; the second factor of the product is equal to a power; the base is x; the exponent is two; the four term of the sum is a product comprising 2 factors; the first factor of the product is negative seventy two; the second factor of the product is x; the five term of the sum is equal to negative twenty seven; the bottom of the rational expression is a sum of 2 terms; the first term of the sum is equal to x; the second term of the sum is negative three;
  2. open parenthesis negative three close parenthesis times x raised to the power four plus eight multiplied by x exponentiated by three plus thirty times x to the power of two plus opening bracket negative seventy two closing bracket times x plus negative twenty seven divided by x plus negative three;

Result

-3*x^3-x^2+27*x+9

  1. A sum containing 4 terms. The first term of the sum is equal to a product that contains 2 factors. The first factor of the product is equal to negative three. The second factor of the product is a power. The base is x. The exponent is three. The second term of the sum is a negative power. The base is x. The exponent is two. The third term of the sum is equal to a product that contains 2 factors. The first factor of the product is equal to twenty seven. The second factor of the product is x. The four term of the sum is equal to nine.
  2. negative three times x exponentiated by three plus negative x raised to the power two plus twenty seven multiplied by x plus nine.