document.write( "Question 674435: Find the equation of a parabola that has the given numbers as solutions:
\n" ); document.write( "a) x=-5
\n" ); document.write( "x=8\r
\n" ); document.write( "\n" ); document.write( "b) f(2/3)=0
\n" ); document.write( "f(2)=0\r
\n" ); document.write( "\n" ); document.write( "c) 2-3i \n" ); document.write( "

Algebra.Com's Answer #419234 by solver91311(24713) $\"\"$ $\"About$

You can put this solution on YOUR website!
\r
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\n" ); document.write( "\n" ); document.write( "Parabolas do not have \"solutions\". Parabolas are graphs of quadratic functions, the

-coordinates of the

-intercepts of which are the zeros of the function. If you set the function equal to zero creating a quadratic equation, then the zeros of the function become the solutions of the equation.\r
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\n" ); document.write( "\n" ); document.write( "If

is a zero of a polynomial function in

, then

is a factor of the polynomial.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So for your question a), the factors of your desired function are

and

. Hence:\r
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\r
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\n" ); document.write( "\n" ); document.write( "You can do the FOIL and simplify process yourself.\r
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\n" ); document.write( "\n" ); document.write( "Note for part b)

is the same thing as saying

is a zero of the function\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Note for part c) Complex zeros of polynomial functions with real number coefficients ALWAYS come in conjugate pairs. That is to say, if

is a zero of a given polynomial, then

is also a zero of that polynomial.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "John
\n" ); document.write( "

\n" ); document.write( "Egw to Beta kai to Sigma
\n" ); document.write( "My calculator said it, I believe it, that settles it
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$\"The$

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