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
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\n" ); document.write( "\n" ); document.write( "please respons asap
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Algebra.Com's Answer #374989 by ankor@dixie-net.com(22740)\"\" \"About 
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
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\n" ); document.write( "We can group factor here
\n" ); document.write( "x^2(x+2) + 49(x+2) = 0
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\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 = +/-\"sqrt%28-49%29\"
\n" ); document.write( "factor out the square root of -1
\n" ); document.write( "x = +/-\"i%2Asqrt%2849%29\"
\n" ); document.write( "x = + 7i
\n" ); document.write( "x = - 7i
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