SOLUTION: The degree three polynomial f(x) with real coefficients and leading
coefficient 1, has –3 and + 4i among its roots. Express f(x) as a
product of linear and quadratic polyno
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Question 107006: The degree three polynomial f(x) with real coefficients and leading
coefficient 1, has –3 and + 4i among its roots. Express f(x) as a
product of linear and quadratic polynomials with real coefficients.
a. f (x) = (x + 3)(x2 +16)
b. f (x) = (x + 3)(x 2 + 8x +16)
c. f (x) = (x + 3)(x 2 − 8x +16)
d. f (x) = (x − 3)(x 2 +16)
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
complex roots occur in conjugate pairs, so f(x)=(x+3)(x-4i)(x+4i)
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