Posted by **Alyssa** on Wednesday, July 22, 2009 at 7:38pm.

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

-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)

- Algebra -
**MathMate**, Wednesday, July 22, 2009 at 7:44pm
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.

- Algebra -
**Alyssa**, Wednesday, July 22, 2009 at 8:12pm
Thanks I will keep that in mind.

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