What is the multiple zero and multiplicity of f (x) = (x - 3) (x - 3) (x + 5) ? a. Multiple zero is 5; multiplicity is 1 b. Multiple zero is - 5; multiplicity is 1 c. Multiple zero is 3; multiplicity is 2 d. Multiple zero is - 3; multiplicity is 2

Question

Mathematics

Pranav Stephenson

29 March, 08:07

What is the multiple zero and multiplicity of f (x) = (x - 3) (x - 3) (x + 5) ? a. Multiple zero is 5; multiplicity is 1 b. Multiple zero is - 5; multiplicity is 1 c. Multiple zero is 3; multiplicity is 2 d. Multiple zero is - 3; multiplicity is 2

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Answers (1)

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Hamilton · Answer 1

c. Multiple zero is 3; multiplicity is 2

Step-by-step explanation:

The factor is repeated, that is, the factor (x - 3) appears twice. The number of times a given factor appears in the factored form of the equation of a polynomial is called the multiplicity. The zero associated with this factor, x = 3, has multiplicity 2 because the factor (x - 3) occurs twice.

Then

Multiple zero is 3; multiplicity is 2.