radomes.openskiesproject.org
aimee95 aimee95
  • 01-01-2017
  • Mathematics
Answered

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=

Verified Answer :

apologiabiology
apologiabiology apologiabiology
  • 01-01-2017

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
\(f(x)=x^4-10x^3+42x^2-58x+25\)
not sure what the 'a' in front is

Answer Link

Related Questions

Which best describes the underlined clause She laughed out loud when I told her the story Apossessive Bnoun clause Cadjective clause Dadverb clause
What is the decimal representation of seven hundredths
A fruit stand has 28 apples 20 oranges and 12 pears What is the ratio of apples to the total pieces of fruit
FILE3 Explain the difference between hypovolemia and hypervolemia
Why did the founders of the Constitution create a separation of powers
poema de tres estrofas y cuatro versos con metaforasimil y personificacion para niños
5x10 30x Solve and explain
What form of energy do we receive from the sun
Polar bears and brown bears are related Over time polar bears and brown bears have developed different appearances Which of these MOST LIKELY caused the differe
Is H3O polar or non polar explain please