What are the possible rational zeros of f(x) = x4 + 2x3 − 3x2 − 4x + 12?

The answer is plus or minus 1,2,3,4,6,12, those are the possible rational xeros and we can find this if we take the leading coefficient 1 from x^4 and the constant 12

We now could use our p/q

P would be your 12 and your q would be 1

Now find the factors of 12 and 1

p/q= 12/1= 1,2,3,4,6,12 /1 (all plus or minus)

possible rational zeros 1,2,3,4,6,12 (all plus or minus) :)

x = ± 6i

step-by-step explanation:

x^2 = -36

take the square root of each side

sqrt(x^2) = sqrt(-36)

we know sqrt(ab) = sqrt(a) sqrt(b)

x = ±sqrt(36) sqrt(-1)

we know that sqrt (-1) = i

x = ± 6i