Write a polynomial function in standard form with the given zeros; 3,-3,-6

Answer 1

Hi, there! Great question, I'd love to help you out :)

We are give the zeros of a polynomial with are also the x values:

x = 3 x = -3 x = -6

We want to move our zeros to be on the same side as the x's to find the factors of our polynomial:

x - 3 x + 3 x + 6

Now we can multiply them all together use the distributive property to find the resulting polynomial:

(x - 3)(x + 3)(x + 6)

(x² - 3x + 3x - 9)(x + 6)

(x² - 9)(x + 6)

x³+6x² - 9x - 54

There you have it! I hope this explanation was thorough and answered all of your questions. If you're confused on any of the steps, please don't hesitate to reach out! Learn on! :)