Question

Which polynomial function has a root of 1 with

multiplicity 2 and a root of 6 with multiplicity 1?
Of(x) = (x - 1)(x-6)
Of(x) = 2(x - 1)(x - 6)
Of(x) = (x - 1)(x - 1)(x-6)
O f(x) = (x - 1)(x-6)(x-6)

Answer 1

C) f(x) = (x - 1)(x - 1)(x-6)

Step-by-step explanation:

Multiplicity means number of times a factor appears in a particular equation.

For example, a root of 3 has multiplicity of 3 then = (x - 3)(x - 3)(x - 3)

Breakdown for this question:

If a polynomial where root of 1 has multiplicity of 2, then it means (x - 1)²

Where polynomial of root of 6 has multiplicity of 1, then it means (x - 6)

Joining them together:

(x - 1)²(x - 6) = (x -1)(x - 1)(x - 6) Hence option C is correct.