Math Problem Statement
Consider the following. f(x) = −4x3 + 15x2 − 8x − 3 (a) List the possible rational zeros of f. (Enter your answers as a comma-separated list.) x =
(b) Sketch the graph of f so that some of the possible zeros in part (a) can be disregarded. Determine all real zeros of f. (Enter your answers as a comma-separated list. Enter all answers using the appropriate multiplicities.) x =
Solution
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Math Problem Analysis
Mathematical Concepts
Polynomials
Rational Root Theorem
Synthetic Division
Quadratic Equations
Formulas
Rational Root Theorem: p/q where p is a factor of the constant term and q is a factor of the leading coefficient
Quadratic formula: x = [-b ± sqrt(b^2 - 4ac)] / 2a
Theorems
Rational Root Theorem
Quadratic Formula
Suitable Grade Level
Grades 10-12
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