Question

Find a cubic function with the given zeros.

Sqrt(2), -Sqrt(2), -2

Answer 1

@campbell_st

Answer 2

so if

x = -2 is a zero then x + 2 is a factor

so

P(x) = (x + 2) ....

now for the other factors

(x - sqrt(2)) and (x + sqrt(2)) the product of these binomials is the difference of 2 squares

so its x^2 - 2

if you think about it

x^2 - 2 = 0 then x^2 = 2 and hence the zeros by taking the square root..

so now you know

P(x) = (x +2)(x^2 - 2)

just distribute for your answer.

hope it helped