Answered

Consider the function f(x)=(x-3)^2(x+2)^2(x-1).
The zero _____ has a multiplicity of 1.
The zero -2 had a multiplicity of _____

Answer :

Answer:

See below in bold.

Step-by-step explanation:

Because one factor is (x + 1),  the zero -1 has a multiplicity of 1.

The zero -2 has a multiplicity of 2 because the factor is (x + 2)^2.

carlosego

For this case we have that by definition, the multiplicity of the root of a polynomial is given by the number of times the root is repeated. Example:

[tex](x-1) ^ n[/tex]

The zero "1" has a multiplicity of "n".

In this case we have the following function:

[tex]f (x) = (x-3) ^ 2 * (x + 2) ^ 2 * (x-1)[/tex]

So:

The zero "3" has a multiplicity of "2".

The zero "-2" has a multiplicity of "2".

The zero "1" has a multiplicity of "1".

Answer:

The zero "1" has a multiplicity of "1".

The zero "-2" has a multiplicity of "2".

Other Questions