Pretest

Question 1

If a polynomial function, f of x , with rational coefficients has roots 0 , 4 , and 3 plus square root of 11 , what must also be a root of f of x ?

Revolt · Accepted Answer

3 minus square root of 11

Question 2

Which second degree polynomial function has a leading coefficient of negative 1 and root 4 with multiplicity 2 ?

Revolt · Accepted Answer

f of x is equal to negative x squared plus 8 x minus 16

Question 3

If a polynomial function f of x has roots negative 9 and 7 minus i , what must be a factor of f of x ?

Revolt · Accepted Answer

open paren x minus open paren 7 plus i close paren close paren

Question 4

If a polynomial function, f of x , with rational coefficients has roots 3 and square root of 7 , what must also be a root of f of x ?

Revolt · Accepted Answer

negative square root of 7

Question 5

Which polynomial function has a leading coefficient of 1 and roots 2 i and 3 i with multiplicity 1 ?

Revolt · Accepted Answer

f of x is equal to open paren x minus 2 i close paren times open paren x minus 3 i close paren

Question 6

If a polynomial function f of x has roots negative 8 , 1 , and 6 i , what must also be a root of f of x ?

Revolt · Accepted Answer

negative 6 i

Question 7

Which polynomial function has a leading coefficient of 3 and roots negative 4 , i , and 2 , all with multiplicity 1 ?

Revolt · Accepted Answer

f of x is equal to 3 open paren x plus 4 close paren open paren x minus i close paren open paren x minus 2 close paren

Question 8

Which polynomial function f of x has a leading coefficient of 1 , roots negative 4 , 2 , and 9 with multiplicity 1 , and root negative 5 with multiplicity 3 ?

Revolt · Accepted Answer

f of x is equal to open paren x plus 5 close paren times open paren x plus 5 close paren times open paren x plus 5 close paren times open paren x plus 4 close paren times open paren x minus 2 close paren times open paren x minus 9 close paren

Question 9

If a polynomial function f of x has roots 4 minus 13 i and 5 , what must be a factor of f of x ?

Revolt · Accepted Answer

open paren x minus open paren 4 plus 13 i close paren close paren

Question 10

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 ?

Revolt · Accepted Answer

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

Pretest Answers

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