Write all of the following statement(s) that apply to the following polynomial: -5x3 + 2x2 – 7
It is a binomial.
It cannot be evaluated at x =
It has a degree of 3.
It is cubic.
If you mean -5x^3 + 2x^2 - 7
it is a cubic and it has a degree of 3
To determine which statement(s) apply to the polynomial -5x^3 + 2x^2 - 7, we can break down each statement and analyze them:
1. It is a binomial: False.
To be a binomial, a polynomial must only have two terms. However, the given polynomial has three terms, so it is not a binomial.
2. It cannot be evaluated at x = : False.
The statement seems to be cut off, but assuming the question is asking whether the polynomial can be evaluated at a specific value of x, like x = 5, then the answer is True. The given polynomial can be evaluated at any real or complex value of x.
3. It has a degree of 3: True.
The degree of a polynomial is determined by the exponent of the term with the highest power. In this case, the highest power is 3 (from -5x^3), so the degree of the polynomial is 3.
4. It is cubic: True.
A polynomial is considered cubic if its degree is 3. Since the degree of the given polynomial is 3, it is indeed cubic.
So, the correct statements are:
- It has a degree of 3.
- It is cubic.