Question

How do you write 2x^5-9x^4-2x^2+10 in standard form?

Answer 1

`2x^5-9x^4+0x^3-2x^2+0x+10`

Explanation:

A polynomial is in standard form when its terms are ordered from highest to lowest degree.

If the polynomial is missing terms, it must be completed by setting their coefficients to 0.

The given polynomial is:

`2x^5-9x^4-2x^2+10`

The terms are ordered, but it's incomplete. The terms with exponent 3 and 1 must be included with zero coefficient.

Thus the polynomial in standard form is:

`\boxed{2x^5-9x^4+0x^3-2x^2+0x+10}`