Asked by Alyssa

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)

Answers

Answered by MathMate
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.
Answered by Alyssa
Thanks I will keep that in mind.
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