Question

Find a cubic function with the given zeros.
√6, -√6, -3

Answer 1

(x-a)(x-b)(x-c)
is a cubic function with zeros at a,b,c
so can you answer this?

Answer 2

No

Answer 3

if the question said

Find a cubic function with the given zeros.
a, b, c

then the answer would be

(x-a)(x-b)(x-c)

now?

Answer 4

You have to just plug in a,b,c a=√6, b= -√6,c= -3

Answer 5

then distribute to get the original equation.

Answer 6

distributing is not required unless they ask for that type of format

Answer 7

f(x) = (x-a)(x-b)(x-c) is still a cubic function with the given roots

Answer 8

well then its even easier! just plug in the values for a,b,c

Answer 9

:)

Answer 10

the factored form, i believe is called the intercept form .. since its constructed from the intercepts

Answer 11

well lets say the given zeros where

1, 2, 3
---
(x-a)(x-b)(x-c)
is a cubic function with zeros at a,b,c
so can you answer this?
---

then

(x-1)(x-2)(x-3)

we just plug in.

Can you plug in your numbers?

Answer 12

f(x) = x3 - 3x2 - 6x - 18 ?
@timo86m

Answer 13

let me dbl check

you got

(x-a)(x-b)(x-c)
Plug in

√6, -√6, -3
(x-(sqrt(6))(x-(-sqrt(6)))(x-(-3))

then expand :)

Answer 14

thank youu (:

Answer 15

x^3+3 x^2-6 x-18