Q:

# What is the best method for dividing polynomials by binomials?

A:

The best method for dividing polynomials by binomials is through long division. The first step is to divide the highest degree polynomial term by the highest degree binomial term, writing the result above the division line. This result is then multiplied by the divisor with the resulting binomial subtracted from the polynomial. The remaining polynomial is then divided by the highest degree term of the binomial.

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These steps are repeated until the remaining polynomial terms have lower degrees than the binomial. Divisions that result in a remainder can be written in two ways, one of which involves writing the remainder by denoting it with the letter "R." A better way, however is to express the remainder as a fractional number. The remainder is typically the numerator, while the divisor is the numerator of the fraction, which is usually added to the quotient. It is advisable to check the result by multiplying the quotient by the divisor and adding the remainder term. Some polynomials have missing terms, which must be included in the long division in order to obtain a viable answer. Missing terms are typically associated with the value zero, but they are a crucial component of the subtraction step.

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