(6) The Rational Root Theorem.notebook March 16, 2015Bell work
Find the other zeros of
f(x) = x5 - 4x4 - 13x3 + 52x2 + 36x - 144
given that f (4) = 0.
2.6 The Rational Root Theorem
If f (x) = anxn + ... + a1x + a0 has integer coefficients, then every rational zero of f has the
following form:
p factor of constant term a0 q factor of leading coeffiecient an
__ = __________________________________________________________=__
If f (x) = anxn + ... + a1x + a0 has integer coefficients, then every rational zero of f has the
following form:
p factor of constant term a0 q factor of leading coeffiecient an
(6) The Rational Root Theorem.notebook March 16, 2015
List the possible rational zeros of
f (x) = x3 + 2x2 - 11x + 12.
List the possible rational zeros of f (x) = 2x4 + 5x3 - 18x2 - 19x + 8.
(6) The Rational Root Theorem.notebook March 16, 2015
Finding zeros when the leading
coefficient =1
Find all real zeros of
f(x)= x3 - 8x2 +11x +20
Step 1: List the possible rational zeros.
Step 2: Test the zeros using synthetic division
Step 3: Factor the trinomial
Find all real zeros of
f(x)= x3 - 8x2 +5x +14
(6) The Rational Root Theorem.notebook March 16, 2015
Assignment:
p. 132 # 12-18 even
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