How do you write a polynomial in standard form, then classify it by degree and number of terms $-2x+6-x^3+5x$ ?

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Answer 1 · 2017-05-29T22:53:37

$- x^(3) + 3 x + 6$

Cubic expression (degree $3$ )

$3$ terms

We have: $- 2 x + 6 - x^(3) + 5 x$

A polynomial in standard form is expressed by ordering the terms by degree from left to right, in descending order:

$= - x^(3) + 5 x - 2 x + 6$

Let's collect the like terms:

$= - x^(3) + 3 x + 6$

This is a cubic expression, as the leading term has degree $3$ .

The number of terms is also $3$ .

How do you write a polynomial in standard form, then classify it by degree and number of terms -2x+6-x^3+5x-2x+6-x^3+5x?