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Taya2010 [7]
3 years ago
10

What is the multiplicity of each of the roots of the graph of

Mathematics
2 answers:
skelet666 [1.2K]3 years ago
7 0

Answer:

C

Step-by-step explanation:

pantera1 [17]3 years ago
3 0

Answer:

The correct option is;

C. -3, multiplicity 2; -1, multiplicity 1; 1, multiplicity 1

Please find attached the required function graph

Step-by-step explanation:

To solve the equation f(x) = 2·x⁴ + 12·x³ + 16·x² -12·x - 18, by graphing the function, we have;

x {}       F(x)

-4{}       30

-3{}       0

-2{}       6

-1{}        0

0 {}      -18

1{}         0

2{}       150

The shape of a graph with multiplicity of 2

Given that the graph bounces of the horizontal axis at the y-intercept at point x = -3, the factor (x - 3) must be a quadratic of the form (x - 3)², thereby having a multiplicity of 2 in the solution which are;

x = 1, -1, and, giving

(x - 1)·(x + 1)·(x - 3)² = 0

Therefore, the correct option is -3, multiplicity 2; -1, multiplicity 1; 1 multiplicity 1.

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