document.write( "Question 997920: Find an equation for each of the sets of given solutions: ( $\"sqrt%282%29+\"$ , $\"+-sqrt%282%29+\"$ , 4) and (-2, 2, -i, i). I know that in the first part of quadratic, $\"+x%5E3+\"$ because there are 3 solutions, but then how would you figure out the rest of the equation? \n" ); document.write( "

Algebra.Com's Answer #615873 by josgarithmetic(39630) $\"\"$ $\"About$

You can put this solution on YOUR website!
You are hoping for something $\"y=ax%5E3%2Bbx%5E2%2Bcx%2Bd\"$ , you were given the three solutions (which will be \"roots\" for when y=0), and you can form the equation ( I should say, \"function\") in FACTORED form.\r
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\n" ); document.write( "\n" ); document.write( "Start with a format, $\"%28x-r%29%28x-s%29%28x-t%29=0\"$ ;
\n" ); document.write( "The three roots are given.
\n" ); document.write( " $\"%28x-sqrt%282%29%29%28x-%28-sqrt%282%29%29%29%28x-4%29=0\"$
\n" ); document.write( "and you may like to simplify and finish in general form.
\n" ); document.write( " $\"%28x-sqrt%282%29%29%28x%2Bsqrt%282%29%29%28x-4%29=0\"$
\n" ); document.write( " $\"highlight_green%28%28x%5E2-2%29%28x-4%29=0%29\"$ ----if you want to finish at factors which are irreducible linear or quadratics;
\n" ); document.write( " $\"x%5E3-2x-4x%5E2%2B8=0\"$
\n" ); document.write( " $\"highlight%28x%5E3-4x%5E2-2x%2B8=0%29\"$ -----general form.\r
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\n" ); document.write( "\n" ); document.write( "Your other set of solution values for a polynomial equation contains four members, and the degree of the equation will be four, and you would use the same kind of method or process just done for the first set of equation solutions you had. \n" ); document.write( "

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