Question

What is the factored form of the polynomial P(x) shown here?

Answer 1

`\boxed{p(x)=x(x+2)(x+5)}`

Explanation:

The given polynomial function has x-intercepts at

`x=0`

`x=-2`

`x=-5`

The above are all zeros of the polynomial function, whose graph is shown.

According to the Factor Theorem,
`x` ,
`(x+2)` and
`x+5` are factors of the polynomial.

The fully factored form is

`p(x)=x(x+2)(x+5)`

Answer 2

Find the series of the graph. This is where the graph crosses the x axis. They are x = -5, -2, and 0.

Factored: y = x(x+2)(x+5)