SOLUTION: Find a polynomial with integer coefficients and a leading coefficient of one that satisfies the given conditions. S has degree 2, and zeros 4+i and 4-i

Question 812680: Find a polynomial with integer coefficients and a leading coefficient of one that satisfies the given conditions.
S has degree 2, and zeros 4+i and 4-i
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find a polynomial with integer coefficients and a leading coefficient of one that satisfies the given conditions.
S has degree 2, and zeros 4+i and 4-i
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S(x) = (x-(4+i))(x-(4-i))
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Rearrange::
S(x) = ((x-4)-i)((x-4)+i)
----
Multiply t get:
S(x) = (x-4)^2-i^2
---
S(x) = x^2-16x+16+1
---
S(x) = x^2-16x+17
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Cheers,
Stan H.
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