document.write( "Question 627661: find all zeros of the following polynomial write the polynomial in factored form\r
\n" ); document.write( "\n" ); document.write( "f(x) = 7x^3-x^2+7x-1
\n" ); document.write( "

Algebra.Com's Answer #395690 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
find all zeros of the following polynomial write the polynomial in factored form
\n" ); document.write( "f(x) = 7x^3-x^2+7x-1
\n" ); document.write( "factor by grouping
\n" ); document.write( "f(x) =x^2(7x-1)+(7x-1)
\n" ); document.write( "f(x) = (7x-1)(x^2+1)=0
\n" ); document.write( "7x-1=0
\n" ); document.write( "x=1/7
\n" ); document.write( "or
\n" ); document.write( "x^2+1=0
\n" ); document.write( "x^2=-1
\n" ); document.write( "x=±√-1=±
\n" ); document.write( "zeros: 1/7 and two non-real zeros, ±i
\n" ); document.write( "
\n" );