document.write( "Question 589748: please help me solve and understand this problem\r
\n" );
document.write( "\n" );
document.write( "my math teacher gave me this work to due but i have been sick for a few weeks and i dont understand\r
\n" );
document.write( "\n" );
document.write( "given the polynominal function f(x), find the rational zeros, than the other zeros (that is, solve the equation f(x)=0),and factor f(x) into linear factors\r
\n" );
document.write( "\n" );
document.write( "f(x)=x^3+2x^2+49x+98\r
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "please respons asap \n" );
document.write( "
Algebra.Com's Answer #374989 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! f(x) into linear factors \n" ); document.write( "f(x) = x^3 + 2x^2 + 49x + 98 \n" ); document.write( "x^3 + 2x^2 + 49x + 98 = 0 \n" ); document.write( ": \n" ); document.write( "We can group factor here \n" ); document.write( "x^2(x+2) + 49(x+2) = 0 \n" ); document.write( ": \n" ); document.write( "Factor out (x+2) \n" ); document.write( "(x+2)(x^2+49) = 0 \n" ); document.write( "x = -2; the rational 0 \n" ); document.write( "and \n" ); document.write( "x^2 + 49 = 0 \n" ); document.write( "x^2 = -49 \n" ); document.write( "x = +/- \n" ); document.write( "factor out the square root of -1 \n" ); document.write( "x = +/- \n" ); document.write( "x = + 7i \n" ); document.write( "x = - 7i \n" ); document.write( " \n" ); document.write( " |