find the root(s) of f (x) = (x + 5)3(x - 9)2(x + 1). 50 POINTS!!!!!!! -5 with multiplicity 3 5 with multiplicity 3 -9 with multi

Question

3 months ago

8

plicity 2 9 with multiplicity 2 -1 with multiplicity 0 -1 with multiplicity 1 1 with multiplicity 0 1 with multiplicity 1

2 answers:

Leona [12.6K] · Answer 1 · 2026-03-04T04:36:33+03:00

Result:

The findings can be summarized as follows:

-5 with a multiplicity of 3

9 with a multiplicity of 2

-1 with a multiplicity of 1

Detailed breakdown:

Given:

$\Rightarrow f (x) = (x + 5)^3(x - 9)^2(x + 1)$

Solve the equation outlined above:

$\Rightarrow f (x) = (x + 5)(x + 5)(x + 5)(x - 9)(x - 9)(x + 1)\\$

The polynomial roots are:

$\Rightarrow (x-x_1)(x-x_2)(x-x_3)......(x-x_n)\\\\\Rightarrow x_1,x_2,x_3.........x_n$

Hence, the roots identified are:

-5 with a multiplicity of 3

9 with a multiplicity of 2

-1 with a multiplicity of 1

zzz [12.3K] · Answer 2 · 2026-03-04T04:38:37+03:00

zzz [12.3K]3 months ago

5 0

Result:

The roots are as follows:

a. -5 with a multiplicity of 3

d. 9 with a multiplicity of 2

f. -1 with a multiplicity of 1

Detailed breakdown: