By Nat, Grade 11 Pre-Calculus. What is a rational number?
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Transcript of By Nat, Grade 11 Pre-Calculus. What is a rational number?
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By Nat, Grade 11
Pre-Calculus
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What is a rational number?
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A rational zero is a solution to a polynomial that is rational.
What is a rational zero?
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You can use the Rational Zero Test!
How do you find them?
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The Rational Zero Test
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Example 1 : Getting Started
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To determine the actual real zeros of an equation, you must try out all the possible zeros and see if they yield a “0 (zero)” as an answer.
Determining the Actual Real Zeros
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Example 2 : Moving On
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Example 2 : Moving On
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Example 2 : Moving On
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Example 2 : Moving On
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Example 2 : Moving On
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Example 2 : Finishing
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Extra Practice!
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If the divisor of a synthetically divided equation is positive and every number in the last row is
positive, then this is the upper bound.
Example:
Bounds!!!
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If the divisor of a synthetically divided equation is negative and the numbers in the last row
have alternating signs ( +, -), then this is the lower bound.
Example:
Bounds!!!
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• Doyle, Matt. "Synthetic Division Solver." Matt Doyle :: Welcome. Web. 11 Dec. 2011. <http://www.mattdoyle.net/old/synthetic.html>.
• Hungerford, Thomas W., Irene Jovell, and Betty Mayberry. "Chapter 4: Polynomial and Rational Functions." Precalculus: a Graphing Approach. Austin: Holt, Rinehart and Winston, 2006. Print.
• Mr. Scott O’Brady’s Lectures (Precalculus)
Bibliography
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For watching!!!