Question

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

Answer 1

multiple zero is -3 and multiplicity is 2

Explanation:

Answer 2

c. Multiple zero is 3; multiplicity is 2

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.