SOLUTION: Find the polynomial with leading coefficient -2 that has degree 3 and roots 2 and 3i..

Question 983477: Find the polynomial with leading coefficient -2 that has degree 3 and roots 2 and 3i..
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
the polynomial with leading coefficient that has degree and roots and
if the polynomial has , then must have because complex roots always come in pairs
use zero product formula:
....since given that leading coefficient is , multiply product above by ....substitute given roots

RELATED QUESTIONS
Find the polynomial with leading coefficient -2 that has degree 3 and roots 2 and 3i. (answered by Edwin McCravy,AnlytcPhil)

find the polynomial with leading coefficient -2, that has degrees 3 and roots 2 and... (answered by MathLover1)

Write the polynomial equation of degree 4 with leading coefficient 1 that has roots at... (answered by Alan3354)

write the polynomial equation of degree 4 with leading coefficient 1 that has roots at... (answered by Edwin McCravy)

FIND A POLYNOMIAL WITH LEADING COEFFICIENT 1 AND DEGREE 3 THAT HAS ROOTS -1, 1,3 AS... (answered by ankor@dixie-net.com)

Find a polynomial with leading coefficient 1 and degree 3 that has has -1, 1, and 3 as... (answered by Nate)

Find an nth-degree polynomial function with real coefficient satisfying the given... (answered by MathLover1)

find a polynomial with leading coefficient 1 and degree 3 that has 1,1,and 3 as... (answered by jcmtnez)

Find a polynomial with leading coefficient 1 and degree 3 that has -1, 1, and 3 as... (answered by Edwin McCravy)