SOLUTION: Find a polynomial with integer coefficients that satisfies the given conditions. Q(X) has degree 3 and zeros −7 and 1 + i.
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Question 350312
:
Find a polynomial with integer coefficients that satisfies the given conditions.
Q(X) has degree 3 and zeros −7 and 1 + i.
Answer by
edjones(8007)
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x=-7, x=1+i, x=1-i
(x+7)(x-1-i)(x-1+i)
=x^3+5x^2-12x+14
.
Ed