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Which of the following graphs could represent a 6th-degree polynomial function, with 3 distinct zeros, 1 zero with a multiplicity of 3, and a negative leading coefficient?

Which of the following graphs could represent a 6th-degree polynomial function, with-example-1

2 Answers

8 votes

Final answer:

Graph (d) is the correct graph representation of the 6th-degree polynomial function with the given characteristics.

Step-by-step explanation:

The graph that could represent a 6th-degree polynomial function with 3 distinct zeros, 1 zero with a multiplicity of 3, and a negative leading coefficient is graph (d).

Graph (d) begins with a nonzero y-intercept with an upward slope that levels off at zero (Part A). It then starts at zero with a downward slope that decreases in magnitude until the curve levels off (Part B). Finally, it begins at zero with an upward slope that increases in magnitude until it becomes a positive constant (Part C).

User Hhyperion
by
3.5k points
5 votes

Answer:

a=1

b=5

c=1

d=3

1+5+1+3 = 10

User Isaac
by
3.5k points