Find the possible rational zeros of the functions: f(x) =-x +3x² +4 g(x)= 2x +6x-11x+8

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 46E
icon
Related questions
Question
Rational Zero Theorem- If y=a,x" +a, 1x"-1
Math 103 Assign... x
Q
+
日。
2/6
119%
n-2
+a, jx" +a,,x" 2
+...ajx+a, 1S a polynomial function
77
with integral coefficients (a,, 70 and ao 70) and p/q (in lowest terms) is a rational zero of f(x), then
is a factor of the constant term ao and qg is a factor of the leading coefficient a,. (Also known as
good guesses'.)
Find the possible rational zeros of the functions:
f (x) =-x' +3x² +4
g(x) =
2x' +6x² –11x+8
Multiplicity – If the factor r - c occurs k times in the complete footorizotion of tho nolunomial
Transcribed Image Text:Rational Zero Theorem- If y=a,x" +a, 1x"-1 Math 103 Assign... x Q + 日。 2/6 119% n-2 +a, jx" +a,,x" 2 +...ajx+a, 1S a polynomial function 77 with integral coefficients (a,, 70 and ao 70) and p/q (in lowest terms) is a rational zero of f(x), then is a factor of the constant term ao and qg is a factor of the leading coefficient a,. (Also known as good guesses'.) Find the possible rational zeros of the functions: f (x) =-x' +3x² +4 g(x) = 2x' +6x² –11x+8 Multiplicity – If the factor r - c occurs k times in the complete footorizotion of tho nolunomial
Expert Solution
steps

Step by step

Solved in 4 steps

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning