Question

Based on its number of terms, what is the polynomial 4p^(3)-p^(2)-7p called?

Answer 1

The polynomial 4p^3-p^2-7p is called a trinomial because it contains exactly three terms.

Step-by-step explanation:

Based on its number of terms, the polynomial 4p3-p2-7p is called a trinomial.

A trinomial is a type of polynomial that has exactly three terms. Each term in a polynomial consists of a coefficient (a number), a variable (in this case, 'p'), and an exponent.

In the trinomial given, the terms are 4p3, -p2, and -7p, where the exponents are 3, 2, and 1, respectively. When identifying the type of a polynomial, we look at the number of terms it contains, not the power of the variables.

Hence, with three terms, this is definitively a trinomial.