Polynomial Divisions Final

Polynomial Divisions Final

1. Characteristics

   • The grade of the dividend D(x) is greater than or equal to the grade of the divisor d(x).
   • Follows the laws of exponents
   • In polynomial divisions we STOP dividing when the exponent of the denominator is greater than the numerator

2. POLYNOMIAL ÷ MONOMIAL

   • If the divisor is a linear polynomial its a SYNTHETIC division.
   • Numerical Example

3. Polynomial ÷ Polynomial (LONG DIVISION)

   • The divisor is written outside the right parenthesis, while the dividend is placed within. The quotient is written above the bar on top of the dividend.
   • Involves 5 steps: Divide , Multiply, Subtract, Bring down and Repeat or Remainder
   • Numerical Example

4. Synthetic Division

   • Shorthand method of polynomial division when dividing by a linear factor
   • Divisor must be a polynomial of degree one
   • Coefficient of the divisor variable (x) must be a one
   • Numerical Example:

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