Questions: Since the polynomial shown has factors. zeros, it has at least factors, and the degree of the polynomial is Select- the number of
Transcript text: Since the polynomial shown has __ factors. zeros, it has at least __ factors, and the degree of the polynomial is Select- __ the number of
Solution
Solution Steps
Step 1: Identify the number of zeros
The graph crosses the x-axis at three points. Therefore, the polynomial has 3 zeros.
Step 2: Determine the number of factors
Since the polynomial has 3 zeros, it must have at least 3 factors.
Step 3: Determine the degree of the polynomial
The degree of the polynomial is at least the number of zeros. Therefore, the degree of the polynomial is at least 3.
Final Answer
The smallest possible degree that the polynomial whose graph is shown can have is 3.