SOLUTION: Find the polynomial with integer coefficients that satisfies the given conditions Degree of polynomial: 4 Zeroes: 3 (multiplicity 2), 2-i

Question 475609: Find the polynomial with integer coefficients that satisfies the given conditions
Degree of polynomial: 4
Zeroes: 3 (multiplicity 2), 2-i
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find the polynomial with integer coefficients that satisfies the given conditions
Degree of polynomial: 4
Zeros: 3 (multiplicity 2), 2-i
----
Since the coefficients are Real Numbers, 2+i is also a zero.
---
Polynomial:
f(x) = (x+3)^2*((x-2)+i)((x+2)-i)
---
f(x) = (x^2+6x+9)((x-2)^2+1)
----
f(x) = (x^2+6x+9)(x^2-4x+5)
----
Multiply each term in the 1st factor by each term in the 2nd factor.
The combine the "like" terms.
==================================
Cheers,
Stan H.
==============
RELATED QUESTIONS
Find the polynomial with integer coefficients that satisfies the given conditions... (answered by stanbon)

Find a polynomial with integer coefficients and a leading coefficient of one that... (answered by palanisamy)

Find a polynomial with integer coefficients that satisfies the given conditions. Q has... (answered by edjones)

Find a polynomial with integer coefficients that satisfies the given conditions. Q has... (answered by CubeyThePenguin)

Find a polynomial with integer coefficients and a leading coefficient of one that... (answered by stanbon)

Find a polynomial with integer coefficients and a leading coefficient of one that... (answered by richwmiller)

Find a polynomial with integer coefficients taht satisfies the given conditions. Q has... (answered by Alan3354,jsmallt9)

Find a polynomial of the specified degree that satisfies the given conditions. Degree... (answered by Edwin McCravy,greenestamps)