The equation of the polynomial in factored form is (x+2)(x+6)(x-10) = 0
A polynomial is an algebraic equation with at least the power of its variable 3.
Analysis:
if -2, -6, -10i are the zeroes of the polynomial, it means x = -2, x = -6, x = -10i
if x = -2, (x+2) is a factor, (x+6) is a factor.
convert x = -10i to a real number,
i = [tex]\sqrt{-1}[/tex]
-10[tex]\sqrt{-1}[/tex] = 10[tex]\sqrt{- -1}[/tex] = 10[tex]\sqrt{1}[/tex] = 10
x = 10, so (x-10) is a factor.
Therefore equation of the polynomial in factored form is (x+2)(x+6)(x-10) = 0
Learn more about polynomial: brainly.com/question/2833285
#SPJ1
