Login or Sign Up
Ask a New Question

Find the polynomial function P of the lowest possible degree, having real coefficients, with the given zeros.

3+2i, -2 and 1

1 answer

  1. The zeroes of polynomials are either real or complex. Complex zeroes always come in with the conjugates.
    Since the three zeroes above do not include conjugates, the minimum degree of polynomial is 3+1=4.

    The polynomial having zeroes of
    3+2i, -2, 1
    and the conjugate 3-2i is therefore
    P(x)=(x-(-2))(x-1)(x-3-2i)(x-3+2i)
    =(x+2)(x-1)(x²-6x+13)
    Expand if necessary

Answer this Question

Still need help?

You can ask a new question or browse more Algebra questions.