Question

Write the factored form of the polynomial function with the given roots 3i, 2

show all your work​
(please don't answer unless you can really answer it)

Answer 1

Explanation:

The factored form of a polynomial function with roots r1 and r2 can be found by multiplying two linear factors (x - r1) and (x - r2).

Here are the steps to find the factored form of the polynomial function with roots 3i and 2:

Write the first linear factor: (x - 3i)

Write the second linear factor: (x - 2)

Multiply the two linear factors: (x - 3i)(x - 2)

Expand the product to find the polynomial function:

x^2 - (3i + 2)x + (3i * 2) = x^2 - 2x - 6i

And there you have it, the factored form of the polynomial function with roots 3i and 2 is x^2 - 2x - 6i.