Question

Write the polynomial in standard form. then classify it by degree and by number of terms. p³-2p+2p³

Answer 1

The given polynomial p³ - 2p + 2p³ can be simplified to 3p³ - 2p by combining like terms. It is a cubic binomial, classified by its degree (3) and number of terms (2).

Step-by-step explanation:

To write the polynomial in standard form, we should first combine like terms, then arrange the terms in descending order by degree. The polynomial given is p³ - 2p + 2p³. Combining like terms, specifically the terms with p³, we get 3p³ - 2p. So, the polynomial in standard form is 3p³ - 2p. This polynomial is a cubic polynomial because the highest degree of any term is 3. It's also classified as a binomial because it has two terms.