1.what is a polynomial function in standard form with zeros 1,2,-2, and -3

Question

A. X^4+2x^3+7^2-8x+12
B. X^4+2x^3-7^2-8x+12
C. X^4+2x^3-7^2+8x+12
D. X^4+2x^3+7^2+8x+12

I’m guessing B but I’m honestly not sure on what I’m doing

Answer 1

Your function would be:

f(x) = (x-1)(x-2)(x+2)(x+3)
= (x^2 - 4)(x-1)(x+3)

expand it further to see which one matches.
That way you will not have to "guess" what the correct version is.