Question

Find the zeros for the polynomial function and give the multiplicity for each zero. State whether the graph crosses the x-axis or touches
the x-axis and turns around, at each zero.
f(x) = 4(x + 6)(x + 5)^3

Answer 1

Answer:

Step-by-step explanation:

the zeros are -5, and -6

x+ 6 = 0 so x= -6 ; at this zero the graph crosses the x-axis because the degree for (x+6)^1 is 1 the  multiplicity  is 1

x+5 = 0 so x= -5; at this zero the graph crosses the x-axis because the degree for (x+5)^3 is 3 and the multiplicity is 3

Useful facts to know ;

If the multiplicity is odd the graph crosses the x-axis,

if the multiplicity is even the graph touches the x-axis and go