Question

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

Answer 1

Answer:

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

Step-by-step 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)