document.write( "Question 176879: Write a polynomial function with rational coefficients in standard form with the given zeros.\r
\n" ); document.write( "\n" ); document.write( "[] means squre root\r
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\n" ); document.write( "\n" ); document.write( "10. 2, 3, 5 \r
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\n" ); document.write( "\n" ); document.write( "11. [3] 2i \n" ); document.write( "
Algebra.Com's Answer #132263 by ankor@dixie-net.com(22740)\"\" \"About 
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Write a polynomial function with rational coefficients in standard form with the given zeros.
\n" ); document.write( "[] means square root\r
\n" ); document.write( "\n" ); document.write( "10. 2, 3, 5
\n" ); document.write( "Three factors: (x-2)(x-3)(x-5)
\n" ); document.write( "FOIL (x-2)*(x-3) = (x^2 - 5x + 6) multiply this by (x-5), you should get:
\n" ); document.write( "x^3 - 10x^2 + 31x - 30
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\n" ); document.write( "11. \"sqrt%283%29\" 2i
\n" ); document.write( "x^2 = (\"sqrt%283%29\")^2; square both sides
\n" ); document.write( "x^2 = 3
\n" ); document.write( "(x^2 - 3) = 0; one factor
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\n" ); document.write( "x = 2i
\n" ); document.write( "x^2 = (2i)^2
\n" ); document.write( "x^2 = 4i^2
\n" ); document.write( "x^2 = 4(-1)
\n" ); document.write( "x^2 = -4
\n" ); document.write( "(x^2 + 4) = 0 the other factor
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\n" ); document.write( "FOIL (x^2 - 3)*(x^2 + 4) = x^4 + 4x^2 - 3x^2 - 12 = (x^4 + x^2 - 12)
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