SOLUTION: Which illustrate a polynomial equation? a. 2x^-3 + 5x^2 = 0 b. sqrt6x^5 + sqrt7x^3 = 0 c. 9/(x^2) = 0 d. 3x^7 - 5x^4 = 0

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Question 1204492: Which illustrate a polynomial equation?
a. 2x^-3 + 5x^2 = 0
b. sqrt6x^5 + sqrt7x^3 = 0
c. 9/(x^2) = 0
d. 3x^7 - 5x^4 = 0
Found 2 solutions by josgarithmetic, math_tutor2020:
Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!
only choice d.
Answer by math_tutor2020(3817)   (Show Source): You can put this solution on YOUR website!

A single variable polynomial involves terms of the form where c is the coefficient and d is the exponent.
The value of d must be a nonnegative whole number {0,1,2,3,...}
is considered a monomial. Add or subtract a bunch of monomials to get a polynomial.
An example of a polynomial would be 2x^3 + 7x + 10 and what is shown in choice D.

Negative exponents are not allowed because it leads to dividing over x.
Example:
This rules out choices A and C.

Furthermore, this list of items aren't allowed eitherThis rules out choice B.

This resource might help
https://www.mathsisfun.com/algebra/polynomials.html


Answer: Choice D
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