Question

Identify the roots of the equation and the multiplicities of the roots.(x - 6)(x + 4)2 = 0

Answer 1

$(x-6)(x+4)^2=0$

The root of a polynomial is the value of a variable when the polynomial is equated to zero.

The multiplicity of a root is the number of occurrences of the root of a polynomial when completely factorize. Therefore,

The root of the equation can be computed below

$\begin{gathered} x-6=0 \\ x=6 \\ \\ x+4=0 \\ x=-4 \end{gathered}$

The roots are 6 and - 4. The multiplicity of 6 is 1 and the multiplicity of - 4 is 2