To match the expression with its name, let's analyze the given polynomial:
Expression: \(3x^3 - 3x + 3\)
1. **Identify the degree of the polynomial**:
- The highest power of \(x\) in the expression is 3 (\(x^3\)), so the polynomial is of degree 3.
2. **Count the number of terms**:
- There are three terms: \(3x^3\), \(-3x\), and \(3\).
Since it is a polynomial of degree 3 (cubic) and it has three terms (trinomial), we can match the expression with its name:
**cubic trinomial**
Thus, the expression \(3x^3 - 3x + 3\) is a cubic trinomial.
13.
Match the expression with its name.
3x3 – 3x + 3
not a polynomial
fourth-degree monomial
quadratic binomial
cubic trinomial
1 answer