10
AssignmentMultiple Select

The Fundamental Theorem of Algebra

Question 10 • FL-1200330-Algebra 2 CR

Find the root(s) of f (x) = (x + 5)3(x - 9)2(x + 1).

Answer
A
-5 with multiplicity 3
B
5 with multiplicity 3
C
-9 with multiplicity 2
D
9 with multiplicity 2
E
-1 with multiplicity 0
F
-1 with multiplicity 1
G
1 with multiplicity 0
H
1 with multiplicity 1

Explanation

A root occurs when one of the factors equals zero. The factor (x + 5)³ gives x = -5 with multiplicity 3, and (x - 9)² gives x = 9 with multiplicity 2. The factor (x + 1) gives x = -1 with multiplicity 1.

AI-written and checked against the verified answer.

Previous
Next