March 23, 2017

Post a New Question

Posted by on Thursday, September 22, 2011 at 7:53pm.

Form a polynomial, f(x) with real coefficients having the given degree and zeros. Degree: 4 ; Zeros: 4i and 5i
Really need help! don't know where to start.

  • Calculus - , Friday, September 23, 2011 at 1:14pm

    Review the properties of polynomials with real coefficients. If they have complex roots, the roots appear in conjugate pairs. So, since you have roots 4i and 5i, the other roots are -4i and -5i.

    Recall that x^2 + a^2 = (x-ai)(x+ai)

    So, your polynomial is (x^2+16)(x^2+25) = x^4 + 41x^2 + 400

Answer This Question

First Name:
School Subject:

Related Questions

More Related Questions

Post a New Question