# Math problem help - finding real and imaginary zeros of a polynomial?

My math teacher assigned us some homework over the winter break and I've had some trouble with three of the questions. We are supposed to find all real and imaginary zeros to the given polynomials:
24x^5 + 3x^2 factors to --> 3x^2(2x+1)(4x^2 - 2x +1) (?)
16x^4 - 1 factors to -->...
show more
My math teacher assigned us some homework over the winter break and I've had some trouble with three of the questions. We are supposed to find all real and imaginary zeros to the given polynomials:

24x^5 + 3x^2 factors to --> 3x^2(2x+1)(4x^2 - 2x +1) (?)

16x^4 - 1 factors to --> (2x+1)(2x-1)(4x^2+1)

2x^4 + 5x^3 - 3x^2 - 4x + 2

Now I've found out the real zeros alright but I can't figure out the imaginary ones. Can anyone help me?

24x^5 + 3x^2 factors to --> 3x^2(2x+1)(4x^2 - 2x +1) (?)

16x^4 - 1 factors to --> (2x+1)(2x-1)(4x^2+1)

2x^4 + 5x^3 - 3x^2 - 4x + 2

Now I've found out the real zeros alright but I can't figure out the imaginary ones. Can anyone help me?

Follow

6 answers
6

Are you sure you want to delete this answer?