Westonci.ca is the premier destination for reliable answers to your questions, provided by a community of experts. Explore thousands of questions and answers from a knowledgeable community of experts ready to help you find solutions. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

Find a degree 3 polynomial with real coefficients
having zeros 3 and 4i and a lead coefficient of 1. Write
P in expanded form.


Sagot :

Answer:

Since 4 - 2i is a zero, 4 + 2i is also a zero.

Step-by-step explanation:

x = 2, x = 4 - 2i, x = 4 + 2i

x - 2 = 0, x - 4 + 2i = 0, x - 4 - 2i = 0

P(x) = (x - 2)(x - 4 + 2i)(x - 4 - 2i)

P(x) = (x - 2)(x2 - 8x + 20)

P(x) = x3- 10x2 + 36x - 40