Can you write a binomial in standard form with a degree of 0? Can you write a binomial with a degree of 3?

If you are working on polynomials, then binomial is a polynomial with 2 terms, for example,

(x+4) is a binomial, or
(x³ - 2x²) is a binomial.

The first example is a binomial with a degree of 1 (highest power of the variable), and the second is a binomial of degree 3.

Since x0=1 (for all x ≠0), a degree 0 binomial would look like this
(4+5) or (2-pi)

The first one is unconventional because it obviously reduces to a monomial of (9).

Binomial could also be the short form for binomial theorem or binomial disribution, etc.

A binomial in standard form with a degree of 0 would be a constant term. For example, 5 is a binomial in standard form with a degree of 0.

A binomial with a degree of 3 would have the highest power term as x^3. For example, (2x^3 - 3) is a binomial in standard form with a degree of 3.

Yes, I can help you with that!

A binomial is an algebraic expression with two terms. The degree of a binomial refers to the highest power of the variable in the expression.

To write a binomial in standard form with a degree of 0, we need to have the variable raised to the power of 0. Any non-zero number raised to the power of 0 is equal to 1. So, a binomial in standard form with a degree of 0 would look like this:

1 + 3 or -5 + 1

In both cases, the variable is not present since it is raised to the power of 0.

To write a binomial with a degree of 3, we need to have the variable raised to the power of 3. A binomial with a degree of 3 would look like this:

x^3 + 2x^2 or -3x^3 + 4x

In both cases, the variable is raised to the power of 3, and there may be additional terms with lower powers of the variable.

Remember, the degree of a binomial is determined by the highest power of the variable in the expression.