Question

What are the zeros of the polynomial function: f(x) = (x - 3)(x + 1)(x + 5)?

Answer 1

When is f(x)=0? Those are the zeros.

Answer 2

For example, f(3)=?

Answer 3

f(-1)=?

Answer 4

f(-5)=?

Answer 5

I have no idea. I just started this unit and it makes no sense to me

Answer 6

Whichever x makes f(x)=0 are the zeros.

So if x=-5, what is f(x)?
That's one zero.
if x=-1, what is f(x)?
That's another.
if x=3, what is f(x)?
That's the final one.

So the zeros of f(x) are, x=-1,x=3 and x=-5.

Answer 7

And that is because when you plug in those x values into the equation above, you get, what?

Answer 8

0

Answer 9

That's right. So know you know how to find zeros of any function f(x), just find the x values that make it zero!

That's it!

\(\huge☺\)

Answer 10

Thanks a lot

Answer 11

you are welcome