SOLUTION: Find the polynomial with integer coefficients that satisfies the given conditions
Degree of polynomial: 3
Zeroes: 0, 4+3i
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Question 475607: Find the polynomial with integer coefficients that satisfies the given conditions
Degree of polynomial: 3
Zeroes: 0, 4+3i
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: 3
Zeroes: 0, 4+3i
---
4-3i is also a zero.
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f(x) = x((x-4)+3i)((x-4)-3i)
---
f(x) = x((x-4)^2+9)
---
f(x) = x(x^2-8x+25)
f(x) = x^3-8x^2+25x
==========================
Cheers,
Stan H.
==========================
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