Question

how do i find the zeros of the polynomial function, f(x)=2x^3-9x+3? pleassseee help!

Answer 1

set that equal to 0

Answer 2

2x^3 - 9x + 3 = 0

Answer 3

now try factoring using long division.. lemme see

Answer 4

okay, so frist what i do is set f(x) to 0? and solve?

Answer 5

yeah

Answer 6

I think it shoild be 2x^3-9x+2

Answer 7

Are you sure it's raised to the 3rd power and not the second?

Answer 8

no dipin, it is +3 not +2
veronometry, yes it is rasied to the 3rd degree

Answer 9

im trying to factor using long division lol..

Answer 10

what i don't understand is the steps i need to find the 0's?

Answer 11

wait im working on it..

Answer 12

okay thanks bahrom7893

Answer 13

u can't solve here.. i just tried factoring with wolf..

Answer 14

what i need help with more than anything is understanding what i need to do in order. i suppose like a step by step list to understand how to find the zeros of a polynomial function

Answer 15

what is wolf?

Answer 16

wolframalpha.com

Answer 17

To do step by step, first set the polynomial equal to 0, then try factoring or use the quadratics..

Answer 18

The zeros of any function is the same as finding the x-intercept. And, since ANY x-intercept has a y value of 0, you set he entire function equal to zero in order to solve for x. That way, when you solve for x, you get ordered pair(s) of (x,0) etc (depending on the degree of your function. There are some exceptions to that rule, but for the most part it's the same. Does that help?

Answer 19

I undertstand now that i frist need to set the equation equal to 0.
other than that do i just try to balance out the equation?

Answer 20

or do all the x's in the equation turn to 0\

Answer 21

no u just need to find xs that make the y or f(x) go to 0

Answer 22

okay this is where i have gotten
\[2x^3-9x+3=0\]
i added 3 to both sides
\[2x^3-9x=-3\]
i divided each side by 2
\[x^3-9x=-1.5\]
now what?

Answer 23

see I dunno if there was a 0 instead of -1.5 we could solve it... but even if u add a 1.5 to both sides ull end up with a 1.5 on the right..sorry i can't solve it..

Answer 24

its okay
m just trying to find the 0;s not slove the equations

Answer 25

Bahrom is right, it's unfactorable. That means you have no zeros. Which means there are no x-intercepts. The graph is probably floating above or below the x-axis.

Answer 26

Btw, you can't divide both sides by 2. You can only do that if you factor out a 2 from both of the terms.

Answer 27

okay i believe you because i have no idea what the hell i am doing lol