Expression (5x² - 2x + 7), (
) and (y⁵ - √(5y²) + 7) are polynomials.
<h3>What is a polynomial ? </h3>
A polynomial is a type of algebraic expression where exponents of all variables are whole number.
1) 5x² - 2x + 7
Since there are no variables raised to negative or fraction exponents,
the expression is a polynomial.
2) ![\frac{1}{5}x^3 -\frac{7}{2}x^2 -2](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B5%7Dx%5E3%20-%5Cfrac%7B7%7D%7B2%7Dx%5E2%20-2)
Since there are no variables raised to negative or fraction exponents,
the expression is a polynomial.
3) y⁵ - √(5y²) + 7
This can be re-written as
![y^5-(\sqrt{5})y+7](https://tex.z-dn.net/?f=y%5E5-%28%5Csqrt%7B5%7D%29y%2B7)
Since there are no variables raised to negative or fraction exponents,
the expression is a polynomial.
4) ![\frac{y^3}{3} -\sqrt{y} +2](https://tex.z-dn.net/?f=%5Cfrac%7By%5E3%7D%7B3%7D%20-%5Csqrt%7By%7D%20%2B2)
This can be re-written as
![\frac{1}{3}y^2 -y^{1/2}+2](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7Dy%5E2%20-y%5E%7B1%2F2%7D%2B2)
Since variable y is raised to a fraction exponent,
the expression is not polynomial.
Therefore, expression (5x² - 2x + 7), (
) and (y⁵ - √(5y²) + 7) are polynomials.
Learn more about polynomials here: brainly.com/question/17822016
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