What is the multiple zero and multiplicity of f(x) = x^3 + 10x^2 + 25x? (Choose A.-D. below, it is a multiple choice question)

Question

What is the multiple zero and multiplicity of f(x) = x³ + 10x² + 25x? (Multiple choice)

 

A) multiple zero = –5; multiplicity = 2
B) multiple zero = 2; multiplicity = –5
C) multiple zero = 5; multiplicity = 2
D) multiple zero = 2; multiplicity = 5

 

 

(Choose an answer)

Answer 1

We can factor the function into x(x² + 10x + 25) = x(x + 5)² = 0 for the roots

 

So its roots are x = 0 (once) and -5 (twice) The answer is A