The first polynomial is-
[tex]x^2+x^4-3x^3+14x^2-5[/tex]Remember that the degree of a polynomial is defined by the greatest exponent. So, in this case, the degree is 4.
The standard form refers to the polynomial in the right order.
[tex]x^4-3x^3+15x^2-5[/tex]Therefore, the initial polynomial is not in standard form.
The second polynomial is
[tex]x^6-x^7+x^3-1[/tex]The degree of this polynomial is 7.
This polynomial is not in standard form since it's not in the right order.