![]() ![]() ![]() Look for factors that are common to the numerator & denominator.Factor completely the numerator and the denominator separately.Now, there is something incredibly important to note: monomials cancel monomials binomials cancel binomials trinomials cancel trinomials, etc.Īs long as you follow this rule, you’ll steer clear of falling into the cancelation trap! Go through the steps involved which include factoring the numerator and the denominator and then canceling any common factors. Just like we would simplify or reduce a numerical fraction by canceling off factors common to both the top and bottom, we will simplify (reduce) a polynomial fraction by crossing out any factor(s) they have in common. Notice that the first rational expression listed above, 13 42, is. Here are some examples of rational expressions: 13 42 7y 8z 5x + 2 x2 7 4x2 + 3x 1 2x 8. Our goal in simplifying rational expressions is to rewrite the rational expression in its lowest terms by canceling all common factors from the numerator and denominator. Simplifying Rational Expressions Date Period Simplify each expression. Jenn, Founder Calcworkshop ®, 15+ Years Experience (Licensed & Certified Teacher)
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