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 porduct of linear and quadratic polynomials with r
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Question 102562This question is from textbook Algebra and Trigonometry
: 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 porduct of linear and quadratic polynomials with real coefficients. This question is from textbook Algebra and Trigonometry
You can put this solution on YOUR website! 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 porduct of linear and quadratic polynomials with real coefficients.
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If f(x) has real coefficients and 4i is a root, then -4i is also a root.
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f(x) = (x+3)(x-4i)(x+4i)
f(x) = (x+3)(x^2+16)
f(x) = x^3+3x^2+16x+48
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Cheers,
Stan H.
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