Question

How do you write a polynomial in standard form, then classify it by degree and number of terms `-7x^2-x^3+x+5+2`?

Answer 1

See explanation.

Explanation:

To write a polynomial in a standard form you have to order its terms by the decreasing powers of the variable and reduce the like terms if possible.

`-7x^2-x^3+x+5+2=-x^3-7x^2+x+5+2=`

`=-x^3-7x^2+x+7`

The last expression is in the standard form. The highest power, to which `x` is raised is `3`, and it has `4` terms, so it is a quadrinomial of the third degree.