Writing Polynomial Functions from Complex Roots — Quiz
Question 8 • Algebra II
Which polynomial function has a leading coefficient of 1 and roots open paren 7 plus i close paren and open paren 5 minus i close paren with multiplicity 1 ?
Answer
A
f of x is equal to open paren x minus 7 close paren times open paren x minus i close paren times open paren x minus 5 close paren times open paren x plus i close paren
B
f of x is equal to open paren x plus open paren 7 minus i close paren close paren times open paren x plus open paren 5 plus i close paren close paren times open paren x plus open paren 7 plus i close paren close paren times open paren x plus open paren 5 minus i close paren close paren
C
f of x is equal to open paren x plus 7 close paren times open paren x minus i close paren times open paren x plus 5 close paren times open paren x plus i close paren
D
f of x is equal to open paren x minus open paren 7 minus i close paren close paren times open paren x minus open paren 5 plus i close paren close paren times open paren x minus open paren 7 plus i close paren close paren times open paren x minus open paren 5 minus i close paren close paren