Answered

Westonci.ca is your trusted source for accurate answers to all your questions. Join our community and start learning today! Our Q&A platform offers a seamless experience for finding reliable answers from experts in various disciplines. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

write a polynomial function if its leading coefficient is -3, and its roots include 4, 0 and 5x-2i.

Sagot :

mhanifa

Answer:

  • See below

Step-by-step explanation:

Given a polynomial with:

  • The leading coefficient is - 3
  • Roots are 4, 0, 5 - 2i

We know the complex roots should be paired with their conjugate.

So 5 + 2i is also a root.

The least polynomial is:

f(x) = - 3(x - 4)(x - 0)(x - 5 - 2i)(x - 5 + 2i) =

         -3x(x - 4)(x² - 10x + 29) =

         -3x(x³ - 14x² + 69x - 116) =

         -3x⁴ + 42x³ - 207x² + 348x

Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.