Transcript 5.6 find rational zeros

Bell Problem
Factor the polynomial completely given that x – 4 is a
factor: f(x) = x3 – x2 – 22x + 40
5.6 Find Rational Zeros
Standards:
1. Understand patterns
2. Analyze situations using algebraic
symbols
Rational Zero Theorem
Ex. List all the possible zeros of f using the rational zero
theorem.
a. f(x) = x3 + 2x2 – 11x + 12
a. 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