Bell Problem Factor the polynomial completely given that x – 4 is a factor: f(x) = x3 – x2 – 22x + 40.

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Presentation transcript:

Bell Problem Factor the polynomial completely given that x – 4 is a factor: f(x) = x3 – x2 – 22x + 40

Analyze situations using algebraic symbols 5.6 Find Rational Zeros Standards: Understand patterns Analyze situations using algebraic symbols

Rational Zero Theorem

Ex. List all the possible zeros of f using the rational zero theorem. f(x) = x3 + 2x2 – 11x + 12 f(x) = 4x4 – x3 – 3x2 + 9x - 10

Ex. a. List the possible rational zeros of f using the rational zero theorem: f(x) = x3 + 9x2 + 23x + 15 b. Test the list of possible zeros to find actual zeros.

Ex. Find all real zeros of f(x) = x3 – 8x2 + 11x + 20

Ex. Use the graph to shorten the list of possible rational zeros of the function. Then find all real zeros of the function.

Homework pg. 374 #3-10, 12, 20

Bell Problem List all the possible rational zeros of f using the rational zero theorem: f(x) = 2x3 + 3x2 – 11x - 6

Ex. Find all real zeros of the function: f(x) = x3 – 4x2 – 15x + 18

Ex. Find all real zeros of f(x) = 10x4 – 11x3 – 42x2 + 7x + 12

Ex. Find all real zeros of the function: f(x) = 2x4 + 5x3 – 18x2 – 19x + 42

Homework 5.6 Practice B worksheet #1-17 odd