Question

Y=x(x−2)^3 identify the zeros and their multiplicities.

Answer 1

• The zeros of the function are 0 and 2
• The multiplicity is the power to which the factors are raised. The multiplicities of the function are 1 and 3.

Zeros and multiplicities of functions

Given the function $y=x(x-2)^3$

The zeros of the function is at the point where y = 0

$x(x-2)^3 =0\\x = 0\\(x-2)^3=0\\x-2=0\\x=2$

Hence the zeros of the function are 0 and 2

The multiplicity is the power to which the factors are raised. The multiplicities of the function are 1 and 3.

Learn more on zeros and multiplicity here: brainly.com/question/11314797