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Table of Contents

VII. Factors

Factors.

102. Rational Expressions.

An expression is rational when none of its terms contain square or other roots.

103. Factors of Rational and Integral Expressions.

By factors of a given integral number in arithmetic we mean integral numbers that will divide the given number without remainder.

Likewise by factors of a rational and integral expression in algebra we mean rational and integral expressions that will divide the given expression without remainder.

104. Factors of Monomials.

The factors of a monomial may be found by inspection. Thus, the factors of 21a2b are 3, 7, a, a, and b.

105. Factors of Polynomials.

The form of a polynomial that can be resolved into factors often suggests the process of finding the factors.

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