Is the expression a polynomial? If yes, write in standardform, if not state why not
1.
[tex]\frac{2x+3}{x^{2} }[/tex]

2.
[tex]2x+5x^{2} -99[/tex]

3.
[tex](\sqrt{8x^{3}}) +2x^{4}+2+x[/tex]

4.
[tex]15x+4x^{-2}[/tex]

5.
[tex]-3x^{4} +7x+12x^{2}[/tex]

Respuesta :

Answer:

Step-by-step explanation:

1) Not a polynomial. Because x² is in the denominator.

2) Yes, it is a polynomial.

Standard form: 5x² + 2x - 99

3) Not a polynomial.

[tex]\sqrt{8x^{3}} = (8x^{3})^{\frac{1}{2}} = 8^{\frac{1}{2}}x^{\frac{3}{2}}[/tex] .

Power of x is a fraction. so , it is not a polynomial.

4) Power of x is (-2). Power of x should not be a negative integer. SO, it is not a polynomial.

5) Yes:

Standard form: -3x⁴ + 12x² + 7x