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

Answer:

c

Step-by-step explanation:

hope this helps!

Answer 2

Answer:

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

Step-by-step 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

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