Finding Rational Zeros (Day 1)

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Presentation transcript:

Finding Rational Zeros (Day 1) Algebra 2: Section 6.6 Finding Rational Zeros (Day 1)

Definitions Rational Zeros Rational numbers that gives an answer of zero when plugged into the function Where the graph of the function crosses the x-axis

The Rational Zero Theorem If a function has integer coefficients, then every rational zero is in this form……division:

Examples Only find all possible rational zeros

Steps to find rational zeros of a function List all the possible rational zeros Narrow down possible rational zeros using graphing calculator Test the possible rational zeros using synthetic division “Factor the polynomial and solve” and/or “Use the quadratic formula” and/or “Continue to test more possible zeros using synthetic division”…(tomorrow) Solve

Examples List all possible rational zeros Narrow Down Possible Rational Zeros

Use synthetic division to find rational zero (Check first candidate -3) Factor and Solve the Polynomial

Homework P.362 #15 - 22 all #24 & 26 (explain directions!)

ADD HOMEWORK from 6.6 Day 1 to TODAY!!!

Finding Rational Zeros (Day 2) Algebra 2: Section 6.6 Finding Rational Zeros (Day 2)

ADD HOMEWORK from 6.6 Day 1 to TODAY!!!

Examples List all possible rational zeros Narrow Down Possible Rational Zeros

Use synthetic division to find rational zero (Check first candidate -2/3) Factor, then use synthetic division again

Factor, then solve using quadratic and zero product property

Homework P.363 #48-58 evens, omit #54