Apolynomial function has a root of zero with multiplicity one, and root of two with multiplicity four. if the function has a negative leading coefficient, and is of odd degree, which of the following is true. - the function is positive on (-infinity, 0) -the function is negative on (0,2) -the function is negative on (2,infinity) -the function is positive on (0, infinity)

A, B, and C

Step-by-step explanation:

root of zero (x = 0) with multiplicity of 1 (x = 0)¹ means that the graph CROSSES the axis at x = 0

root of two (x = 2) with multiplicity of 4 (x = 2)⁴ means that the graph TOUCHES the axis at x = 2

WHY?  

Leading Coefficient (end behavior of right side):

Degree of polynomial (left side behavior):

The given polynomial has a negative leading coefficent and odd degree so the left side goes to +∞ and the right side goes to -∞

OBSERVE INTERVALS:

See graph to confirm statements above

its adding 5.5 each time

step-by-step explanation: