Question

How do I solve and what is the answer Please help

Answer 1

Equate the factors of the polynomial equation to 0, to obtain the zeros of the equation.

For (x-6),

`\begin{gathered} x-6=0 \\ x=6 \end{gathered}`

In polynomial equation the power of factor (x - 6) is 3. So multiplicity is 3.

For (x + 5),

`\begin{gathered} x+5=0 \\ x=-5 \end{gathered}`

The power of factor (x + 5) is 2, so multiplicity is 2.

For (x + 10),

`\begin{gathered} x+10=0 \\ x=-10 \end{gathered}`

The power of factor (x + 10) is 1, so multiplicity is 1.

For (x-23),

`\begin{gathered} x-23=0 \\ x=23 \end{gathered}`

The power of factor (x - 23) is 3, so multiplicity is 3.