4
QuizMultiple Choice

Writing Polynomial Functions from Complex Roots

Question 4 of 10 • Mathematics III A

Which polynomial function f(x) has a leading coefficient of 1, roots –4, 2, and 9 with multiplicity 1, and root –5 with multiplicity 3?

Answer
A
f(x) = 3(x + 5)(x + 4)(x – 2)(x – 9)
B
f(x) = 3(x – 5)(x – 4)(x + 2)(x + 9)
C
f(x) = (x + 5)(x + 5)(x + 5)(x + 4)(x – 2)(x – 9)
D
f(x) = (x – 5)(x – 5)(x – 5)(x – 4)(x + 2)(x + 9)
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