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How to Multiply & Divide Algebraic Functions

Algebra has been tripping up math students for centuries. The word "algebra" comes from the Arabic "al-jabr," which translates to "restoration." Algebra is based around solving equations that involve variables, typically represented as "x," "y" or some other letter. Algebraic problems may at first seem daunting, but the consistency of algebraic rules helps simplify the problem-solving process. You may have to multiply or divide algebraic functions. A function is one that can be written in the form P/Q, where P and Q are polynomials and Q is not equal to zero.

Instructions

  1. Multiplication

    • 1

      Factor both the numerator and the denominator. Factoring means you must simplify the fraction to its greatest common factor.

    • 2

      Write the result as one fraction. Make sure you record it as a product of the factors of the numerators divided by the product of the factors of the denominators. Refrain from multiplying out at this point.

    • 3

      Simplify the equation. Combine like terms and divide out any common factors.

    Division

    • 4

      Write out the function as a multiplication of the reciprocal. The reciprocal is the inverted fraction.

    • 5

      Perform the operation as you would for multiplying a function; that is, factor both the numerator and denominator and write it out as a single fraction.

    • 6

      Simplify the equation by combining like terms and dividing out any common factors, as in the previous step.

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