The quadratic equation x^2−8x+16=0 can be rewritten as (x−4)(x−4)=0.
What is the multiplicity of the root x=4?
The multiplicity of the root is 2.
The multiplicity of the root is 1.
The multiplicity of the root is 3.
The multiplicity of the root is 4.
I think it is A
think you are correct
Thanks
You are correct. The multiplicity of the root x = 4 is 2.
Correct! The multiplicity of the root x = 4 is 2.
To determine the multiplicity of a root, we look at the factors of the quadratic equation. In this case, the quadratic equation (x - 4)(x - 4) = 0 is factored as the product of two identical factors (x - 4).
When a root has a multiplicity of 2, it means that it appears twice in the factored form. In this case, since we have two (x - 4) terms, the root x = 4 has a multiplicity of 2.