document.write( "Question 475016: Find a polynomial, step by step, having real coefficients, with the degree and zeroes indicated: degree 3, x = -5, x = -3i. The lead coefficient is 1. \n" ); document.write( "

Algebra.Com's Answer #325726 by ewatrrr(24785) $\"\"$ $\"About$

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document.write( "Hi, Note highlighted for previous typo
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document.write( "Find a polynomial, step by step, having real coefficients, 
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document.write( "with the degree and zeroes indicated: 
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document.write( "degree 3, x = -5, x = -3i. The lead coefficient is 1.
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document.write( "Note:if a quadratic polynomial has complex roots, 
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document.write( "they will always be a complex conjugate pair! 
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document.write( "that is: root x = -3i will be accompanied by root x = 3i
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document.write( " (x+3i)(x-3i) = x^2 + 9   |i^2 = -1
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document.write( "AND...
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document.write( "()(x^2 + 9) = x^3 + 5x^2 + 9x + 45 \n" );
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