Question

Determine the equation whose roots are -3, -3, and 3.

Answer 1

what are the answer choices?

Answer 2

You can write the equation in factorized form,
\[(x+3)^2(x-3)\]

Answer 3

And then, expand,
\[(x^2+9+6x)(x-3)= x^3+ 3 x^2-9x-27\]

Answer 4

Viewing the picture, I would say it's the first option.

Answer 5

But it will be better that you try to reach to the same result by hand. ;)

Answer 6

Also, remember that a polinomy that has roots a,b,c,d,.. always can be factorized in the form,
\[(x-a)(x-b)(x-c)\cdots\]

Answer 7

thank you for the help!

Answer 8

You're welcome ;)