Question

write the equation for a polynomial of least degree with integer coefficients given the following zeros: -2, -6, -10i. leave your answer in factored form, but make sure there are no irrational or imaginary numbers

Answer 1

The equation of the polynomial in factored form is (x+2)(x+6)(x-10) = 0

What is a polynomial?

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 = $\sqrt{-1}$

-10$\sqrt{-1}$ = 10$\sqrt{- -1}$ = 10$\sqrt{1}$ = 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