Math Problem Statement
Find all the zeros (real and complex) of
P ( x )
9 x 4 − 6 x 3 + 19 x 2 − 12 x + 2 .
Separate answers with commas. Use exact values, including fractions and radicals, instead of decimals. Enter complex numbers in the form
a
+
b
i
.
Zeros:
Write
P
in factored form as a product of linear and irreducible quadratic factors. Do not use complex linear factors. Be sure to write the full equation, including "
P
(
x
)
".
Function:
Solution
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Math Problem Analysis
Mathematical Concepts
Polynomial Zeros
Factoring Polynomials
Complex Numbers
Quartic Equations
Formulas
Rational Root Theorem
Synthetic Division
Quadratic Formula: x = [-b ± sqrt(b^2 - 4ac)] / 2a
Theorems
Rational Root Theorem
Fundamental Theorem of Algebra
Suitable Grade Level
Undergraduate Mathematics or Advanced High School
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