Is 5^x a Valid Term in a Polynomial?

joshonator · Dec 7, 2011

y=(5x^4 + 5^x -1)/(2x^3 +1)

More specifically is 5^x a valid term in a polynomial?

gb7nash · Dec 7, 2011

joshonator said:

More specifically is 5^x a valid term in a polynomial?

It is not.

A rational function is defined as the quotient of two polynomials functions. Like you said, 5^x is not a valid term of a polynomial.

Number Nine · Dec 11, 2011

checkitagain said:

gb7nash,

there is no "like you said," because the OP didn't state that 5^x isn't
a valid term of a poynomial. He asked if it was.

...and gb7nash answered him. Is this really something to nitpick about?

Is 5^x a Valid Term in a Polynomial?

Discussion

High School Ant on a stretchy rope puzzle

Undergrad Is infinity a necessary concept?

High School Potato paradox

Undergrad Descartes’ Geometry of Square Roots

High School Three Squares Problem

Mathematica NDSolve with forcing function via "digital waveguide"

MATLAB Unable to produce desired results using state-space model with observer for inverted pendulum

Insights Revisiting the Velocity-Time Function

Insights Remote Operated Gate Control System

Insights AI Enriched Problem Solving

Insights Thinking Outside The Box Versus Knowing What’s In The Box

Insights Why Entangled Photon-Polarization Qubits Violate Bell’s Inequality

Insights Quantum Entanglement is a Kinematic Fact, not a Dynamical Effect

Is 5^x a Valid Term in a Polynomial?

Discussion

Similar threads

High School About a definition: What is the number of terms of a polynomial P(x)?

High School How is f(x)=sqrt(x) a valid function?

High School General explicit solution to polynomial interpolation

What is the Value of \(x^5+y^5+z^5\) Given Initial Polynomial Conditions?

[ASK] polynomial f(x) divided by (x - 1)

Undergrad What is the coefficient of the second order term in this polynomial expression?

Undergrad Quintic Polynomial Tschirnhaus Transform: Possible complex Bring Radicals

Polynomial with five roots: determine the roots of the equation x^5+ax^4+bx^3+cx^2+dx+e=0 as functions of a,d and e

How to check if a polynomial is irreducible over the rationals

Solve Polynomial Challenge: Prove $(x-1)(x-2)(x-3)(x-4)(x-5)(x-6)=720$