document.write( "Question 1204492: Which illustrate a polynomial equation?\r
\n" ); document.write( "\n" ); document.write( "a. 2x^-3 + 5x^2 = 0
\n" ); document.write( "b. sqrt6x^5 + sqrt7x^3 = 0
\n" ); document.write( "c. 9/(x^2) = 0
\n" ); document.write( "d. 3x^7 - 5x^4 = 0
\n" ); document.write( "

Algebra.Com's Answer #840781 by math_tutor2020(3817)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "A single variable polynomial involves terms of the form \"c%2Ax%5Ed\" where c is the coefficient and d is the exponent.
\n" ); document.write( "The value of d must be a nonnegative whole number {0,1,2,3,...}
\n" ); document.write( "\"c%2Ax%5Ed\" is considered a monomial. Add or subtract a bunch of monomials to get a polynomial.
\n" ); document.write( "An example of a polynomial would be 2x^3 + 7x + 10 and what is shown in choice D.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Negative exponents are not allowed because it leads to dividing over x.
\n" ); document.write( "Example: \"x%5E%28-2%29+=+1%2F%28x%5E2%29\"
\n" ); document.write( "This rules out choices A and C.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Furthermore, this list of items aren't allowed either
  • square roots
  • logs
  • variables in the exponent
  • trig functions (sine, cosine, etc)
This rules out choice B.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "This resource might help
\n" ); document.write( "https://www.mathsisfun.com/algebra/polynomials.html\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Answer: Choice D
\n" ); document.write( "
\n" ); document.write( "
\n" );