document.write( "Question 35897: This one is also from my worksheet... I appreciate any help. : )
\n" ); document.write( "Write a polynomial of least degree which has the indicated zeros.
\n" ); document.write( "-1,6i,-6i \n" ); document.write( "

Algebra.Com's Answer #21980 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
If the generating polynomial has three zeros, then it must be a third-degree polynomial, right?
\n" ); document.write( "Remember how you find the zeros? You set the factors equal to zero and solve for the variable.
\n" ); document.write( "Ex. (x-6i) is a factor, set x-6i = 0, so x = 6i
\n" ); document.write( "If 6i is a zero, then x-6i is a factor.
\n" ); document.write( "If -6i is a zero, then x+6i is a factor.
\n" ); document.write( "If -1 is a zero, then x+1 is a factor.\r
\n" ); document.write( "\n" ); document.write( "Now to get the polynomial back, you need to multiply the three factors.
\n" ); document.write( " $\"%28x%2B6i%29%28x-6i%29%28x%2B1%29+=+%28x%5E2-36i%5E2%29%28x%2B1%29\"$ = $\"%28x%5E2%2B36%29%28x%2B1%29\"$ = $\"x%5E3%2Bx%5E2%2B36x%2B36\"$ \n" ); document.write( "

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