Question

Which polynomial function has a root of 1 with multiplicity 2 and a root of 6 with multiplicity 1? f(x) = (x – 1)(x – 6) f(x) = 2(x – 1)(x – 6) f(x) = (x – 1)(x – 1)(x – 6) f(x) = (x – 1)(x – 6)(x – 6)

Answer 1

Its c on edge2020

Explanation:

just sayin

Answer 2

`f(x)=(x-1)(x-1)(x-6)`.

Explanation:

The multiplicity of the root of a polynomial function refers to the number of times the root repeats itself.

If a polynomial function has a root of 1 with multiplicity 2, then
`(x-1)^2` is a factor of the polynomial.

If a polynomial function has a root of 6 with multiplicity 1, then
`(x-6)` is a factor of the polynomial.

The polynomial can be written as

`f(x)=(x-1)^2(x-6)`

or

`f(x)=(x-1)(x-1)(x-6)`.