Find a polynomial function of degree 3 with the given numbers as zeros.

Question

-5, sqrt3, -sqrt3
Would this work as a function for this problem? Please help. Thanks!

f(x) =(x-r1) (x-r2) (x-r3)
=(x-(-5)) (x-sqrt3) (x--sqrt3)
(x+5)) (x-sqrt3) (x+sqrt3)

Answer 1

Yes, this works.
You may be expected to expand the terms to the standard polynomial form. Note that the last two factors are of the form (x-a)(x+a) which expands conviently to two terms.

Answer 2

Thanks I will keep that in mind.