Which polynomial function has a leading coefficient of 3 and roots -4, i, and 2, all with multiplicity 1?

Since they all have a multiplicity of 1, that simply means they're all there only once, not twice or thrice or more, just once.

now, we have a root of "i", which using a + bi notation, we can simply write as 0 + i.

bearing in mind "complex roots" never come all by their lonesome, their sister is always with them, namely their conjugate is there too, so if 0 + i is here, her sister 0 - i is also a root too.

which means, there are four roots, so the equation is a quartic one, or 4th degree polynomial.

let's also recall that i² = -1.



now, since it has a leading coefficient of 3, we simply multiply the whole thing by 3, since usually in the equation to 0, that factor is negligible.

I’m not sure what sujevtbis this

The answer is poppy pants69