Kuta Software - Infinite Precalculus Name___________________________________
Polynomials and Conjugate Roots Date________________ Period____
A polynomial function with rational coefficients has the follow zeros. Find all additional zeros.
1) , i
2) ,
3) mult. 2, 4) ,
5) i, 6) i, i, i
Write a polynomial function of least degree with integral coefficients that has the given zeros.
8) , i
7) , ,
9) mult. 3 10) ,
11) , 12) mult. 2,
13) i mult. 2
14) , i
Critical thinking questions:
15) Explain why it makes sense that a 16) Write a polynomial function of degree ten
third-degree polynomial must have at least that has two imaginary roots.
one rational zero.
Worksheet by Kuta Softwar
©l O2]0T1C6D KKEuMtvax ySsoMf_tpwBaQrseE rLULHCC.C G iA[lSlF KraiLgkhbtqsz irte]sbeMrLvtewdA.w N _MGaTdTeG XwVintrhh WIFnxfEiKntiEtwex nPyrJe[cbaHlQc`uMl]uKsP.
Polynomials and Conjugate Roots Date________________ Period____
A polynomial function with rational coefficients has the follow zeros. Find all additional zeros.
1) , i
2) ,
3) mult. 2, 4) ,
5) i, 6) i, i, i
Write a polynomial function of least degree with integral coefficients that has the given zeros.
8) , i
7) , ,
9) mult. 3 10) ,
11) , 12) mult. 2,
13) i mult. 2
14) , i
Critical thinking questions:
15) Explain why it makes sense that a 16) Write a polynomial function of degree ten
third-degree polynomial must have at least that has two imaginary roots.
one rational zero.
Worksheet by Kuta Softwar
©l O2]0T1C6D KKEuMtvax ySsoMf_tpwBaQrseE rLULHCC.C G iA[lSlF KraiLgkhbtqsz irte]sbeMrLvtewdA.w N _MGaTdTeG XwVintrhh WIFnxfEiKntiEtwex nPyrJe[cbaHlQc`uMl]uKsP.
