Question

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

Answer 1

answer:

a. -5 with multiplicity 3

d. 9 with multiplicity 2

f. -1 with multiplicity 1

Explanation:

Answer 2

The answer to this question can be described as follows:

-5 with multiplicity 3

9 with multiplicity 2

-1 with multiplicity 1

Explanation:

Given:

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

Solve the above equation:

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

The roots of the polynomial are as follows:

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

That's why the roots are:

5 with multiplicity 3

9 with multiplicity 2

-1 with multiplicity 1