liamr60749 liamr60749
  • 04-07-2022
  • Mathematics
contestada

What is the polynomial function of lowest degree with lead coefficient 1 and roots i, –2, and 2?

Respuesta :

djp6182583 djp6182583
  • 04-07-2022

Answer:

x^4 - 3x^2 - 4.

Step-by-step explanation:

Imaginary roots  occur as conjugate pairs  so a 4th roots is -i.

So in factor form we have:

f(x) = (x - 2)(x + 2)(x - i)x + i)

     = (x^2 + 1)(x - 2)(x + 2)

     = (x^2 + 1)(x^2 - 4)

      = x^4 - 3x^2 - 4.

Answer Link

Otras preguntas

Michelle has a $100.she wants to purchase paper pins ($20) and file covers ($20) and paper weights. Each paper weight costs $10. How many paper weights can she
Evaluate the expression when x = 5: 10 I7-xI (A)-120 (B)20 (C)-20 (D)123
Carlos owns an orchard. His apple trees produced 315 bushels of apples. Each bushel of apples weighs about 48 pounds. There are about 3 apples in each pound. Ab
Find the student’s error in solving the following inequality. 31 < –5x + 6 25 < –5x –5 < x
Trent, Linda, and Pam will work together to paint a poster that is 4feet long. Each student will paint an equal length of the poster. How many feet of the poste
How did the Greeks attempt to understand the world?
what two rivers join at sutters point
The Moche civilization was located to the south of which Andean civilization? A. Aztec B. Chavin C. Olmec D. Zapotec
what do monet,renoir,morisot,and van gogh have in common?
how do i solve 1-6Log(6x-7)=13 ????