aimee95 aimee95
  • 02-01-2017
  • Mathematics
contestada

Form a polynomial with real coefficients having the given degree and zeroes

Form a polynomial with real coefficients having the given degree and zeroes class=

Respuesta :

apologiabiology
apologiabiology apologiabiology
  • 02-01-2017
easy

the factorrs of an equation that has the roots, r1,r2,r3,r4 is (x-r1)(x-r2)(x-r3)(x-r4)

also, remember that if it has real coefieints, and a+bi is a root, a-bi is also a root

multiplicities are the number of times the root repeats
so root r1 multiplicity 2 would be (x-r1)^2


so therefor
degree 4
roots are 4+3i and 4-3i and 1 twice
(x-(4-3i))(x-(4+3i))(x-1)²
expanding is a pain
used calculator
[tex]f(x)=x^4-10x^3+42x^2-58x+25[/tex]
not sure what the 'a' in front is
Answer Link

Otras preguntas

which products did axum produce ? choose three correct answer ​
1.5x10^8 divided by 5x10^4 = 3x10^?
This is for Great Expectations by Charles Dickens: How does the novel define success? How about failure? Are any characters models of success? Which characters
Which of the following represents a heterogeneous phenotype: A.) Aa B.) AA C.) aa D.) Ab
What event in A.D. 220 led China into a long period of chaos? Group of answer choices A the invasion of the Mongols B the invention of gunpowder C the introd
President__________and proponents of Austrian Economics provided the blueprint that can enable this generation to prosper and enjoy economic and personal libert
could someone help with this?
Which functions are made possible by mitotic cellular division?
What is measure of angle B?​
In 1953, why did scientists revise their estimate from seven minutes to just two minutes to midnight on the Doomsday Clock?