Question

What are the roots of this function?

Answer 1

I know \[y = x^{3}+4x^{2}+3x=0\]

Answer 2

roots/solutions/zeros/x-intercepts: are points where line intersect the x-axis

Answer 3

The roots are simply the x-intercepts. Just get them from the graph

Answer 4

But is there another way to write the roots?

Answer 5

Find the zeros of the equation by looking at the degree...

Answer 6

Are you on zeros of polynomial equations yet?
Or?

Answer 7

This cubic is easily factored. Then set each factor equal to zero to get the roots.

Answer 8

Yes just factor it

Answer 9

that's polynomial equation
you will write roots as x= 1st root,,2nd root,3rd root

Answer 10

In what way? Do you mean simplify the roots?

Answer 11

where does it hit the x axis?

Answer 12

We've told you that the roots are the x-intercepts, the points where the graph meets the x-axis. Look at the graph and write down those three x-values.

Answer 13

no.
in other words roots are x-intercept ( a point where line intersect x-axis)

Answer 14

So the roots are (0,0) ; (-1, 0) ; (-3, 0) ?

Answer 15

looks good

Answer 16

Ok, thanks!!

Answer 17

you can check ur answer by substituting x for each root
if you get 0 as final answer then 100% those numbers are the root

Answer 18

np

Answer 19

For some reason, I can't type that into the answer box...

Answer 20

those are ordered pair
x = 1st root , 2nd root , 3rd root write like this

Answer 21

Technically, the roots are just the x-values where y=0, so you wouldn't write ordered pairs. The roots are \[x=\left\{ -3,-1,0 \right\}\]