4.2.1 Using Synthetic Division with Polynomials Flashcards

1
Q

Synthetic division

A
  • a shorthand method for dividing polynomials when the divisor is in the form (x + c).
    • Synthetic division only works when the coefficient for x in the dividing polynomial is +1. If there is any other coefficient on the term of highest degree, divide the dividing polynomial by that coefficient to eliminate it.
    • To set up the problem, change the sign of the constant in the divisor and set it up to divide with all the coefficients of the problem.
    • Be sure that the coefficients match terms in descending degree and that you include coefficients of 0 for any exponents that are missing.
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