Consider P(x) = x4(x - 2)3(x + 1)2. For each zero, determine if the graph crosses the x-axis. How do you know?
A)The behavior of the graph at 0 cannot be determined. The graph crosses the x-axis at -1 and 2 because the degree of the polynomial is even.
B)The zeros at 0 and -1 do not cross the x-axis because they have even multiplicity. The zero at 2 crosses the x-axis because it has odd multiplicity.
C)The zeros at 0 and -1 cross the x-axis because they have even multiplicity. The zero at 2 does not cross the x-axis because it has odd multiplicity.
D)The zeros at 0 and -1 do not cross

Question

Consider P(x) = x4(x - 2)3(x + 1)2. For each zero, determine if the graph crosses the x-axis. How do you know?
A)The behavior of the graph at 0 cannot be determined. The graph crosses the x-axis at -1 and 2 because the degree of the polynomial is even.	
B)The zeros at 0 and -1 do not cross the x-axis because they have even multiplicity. The zero at 2 crosses the x-axis because it has odd multiplicity.	
C)The zeros at 0 and -1 cross the x-axis because they have even multiplicity. The zero at 2 does not cross the x-axis because it has odd multiplicity.	
D)The zeros at 0 and -1 do not cross

anonymous · Answer

the x-axis because they have odd multiplicity. The zero at 2 crosses the x-axis because it has even multiplicity.