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____ [38]
3 years ago
8

find the root(s) of f (x) = (x + 5)3(x - 9)2(x + 1). 50 POINTS!!!!!!! -5 with multiplicity 3 5 with multiplicity 3 -9 with multi

plicity 2 9 with multiplicity 2 -1 with multiplicity 0 -1 with multiplicity 1 1 with multiplicity 0 1 with multiplicity 1
Mathematics
2 answers:
Dmitrij [34]3 years ago
8 0

Answer:

The answer to this question can be described as follows:

-5 with multiplicity 3

9 with multiplicity 2

-1 with multiplicity 1

Step-by-step explanation:

Given:

\Rightarrow f (x) = (x + 5)^3(x - 9)^2(x + 1)

Solve the above equation:

\Rightarrow f (x) = (x + 5)(x + 5)(x + 5)(x - 9)(x - 9)(x + 1)\\

The roots of the polynomial are as follows:

 \Rightarrow (x-x_1)(x-x_2)(x-x_3)......(x-x_n)\\\\\Rightarrow  x_1,x_2,x_3.........x_n

That's why the roots are:

5 with multiplicity 3

9 with multiplicity 2

-1 with multiplicity 1

AysviL [449]3 years ago
5 0

Answer:

answer:

a. -5 with multiplicity 3  

d. 9 with multiplicity 2

f. -1 with multiplicity 1

Step-by-step explanation:

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