Question

Which of the following expressions is a polynomial?

Answer 1

polynomial requirements
1. never divide by a placeholder
2. variable exponent has to be a whole number
3. can't have infinte terms


by 1. we eliinate 2nd one

by 2. we eliminate first one (√x=x^1/2) and 3rd one because it has an exponent in placeholder

thie leaves us with last one
f(x)=2x³-5x⁵-(2/9)x²+9


last one is answer

Answer 2

f(x) = 2x³ – 5x⁵ – 2/9 x² + 9, is a polynomial. Then the correct option is D.

What is polynomial?

A polynomial expression is an algebraic expression with variables and coefficients.

If the power of the variable is fraction or negative, then the expression is not a polynomial.

f(x) = -3x⁴√x + 13x² – 15, is not a polynomial because of fractional power.

f(x) = 2/x² – 15x, is not a polynomial because of negative power.

f(x) = x³ – 11x² + 3ˣ, is not a polynomial because it is an exponent function.

f(x) = 2x³ – 5x⁵ – 2/9 x² + 9, is a polynomial.

Then the correct option is D.

More about the polynomial link is given below.

https://brainly.com/question/17822016

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