Math Problem Statement
Consider the following function. f(x) = x5 + x3 − 42x (a) Find all real zeros of the polynomial function. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.) x =
Solution
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Algebra
Polynomial Functions
Factoring
Quadratic Equations
Formulas
f(x) = x^5 + x^3 − 42x
Factoring: x(x^4 + x^2 - 42)
Quadratic equation: u^2 + u - 42 = 0
Quadratic formula: u = (-b ± √(b^2 - 4ac)) / 2a
Theorems
Fundamental Theorem of Algebra
Quadratic Formula
Suitable Grade Level
Grades 10-12
Related Recommendation
Find the Zeros of the Polynomial f(x) = x^3 - 5x^2 + 6x
Find Real Zeros of the Polynomial f(x) = 3x^4 - x^3 - 6x^2
Find Zeros and Multiplicities of f(x) = x^5 + x^4 - 19x^3 + 17x^2 + 48x - 60
Find Zeros of Polynomial 5x^3 - 5x^2 - 10x: Step-by-Step Solution
Find All Zeros of Polynomial f(x) = 4x^5 - 18x^4 - 6x^3 + 91x^2 - 60x + 9