document.write( "Question 1113706: Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form 4, -14, and 5 + 8i \n" ); document.write( "

Algebra.Com's Answer #728885 by Boreal(15235) $\"\"$ $\"About$

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The roots are 4, -14, and if 5+8i is a root, so is 5-8i
\n" ); document.write( "(x-4)(x+14)(x-5-8i)(x-5+8i) are all the roots.
\n" ); document.write( "(x^2+10x-56)(x^2-10x+25+64) which is what -64i^2 is.
\n" ); document.write( "(x^2+10x-56)(x^2-10x+89)
\n" ); document.write( "=x^4-67x^2+1450x-4984
\n" ); document.write( " $\"graph%28300%2C300%2C-20%2C10%2C-1000%2C1000%2Cx%5E4-67x%5E2%2B1450x-4984%29\"$ \n" ); document.write( "

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