document.write( "Question 363568: I am wanting to check an answer.\r
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document.write( "I am suppose to use the rational zero test to find all the rational zeros of f(x).\r
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document.write( "f(X)=2x^3+3x^2-11x-6\r
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document.write( "I got -2, -4, -3 is this correct? \n" );
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Algebra.Com's Answer #259269 by vasumathi(46) ![]() You can put this solution on YOUR website! Solution : f(X)=2x^3+3x^2-11x-6 \n" ); document.write( "Plug in x = 2 in this \n" ); document.write( "f(2) = 2(2)^3 + 3(2)^2-11(2)-6 = 16+12-22-6=28-28 = 0 \n" ); document.write( "so x = 2 is a root \n" ); document.write( "divide the polynomial with (x-2) \n" ); document.write( "Then we get \n" ); document.write( "2x^2+7x+3 \n" ); document.write( "Plug in x = -3 in this \n" ); document.write( "2(-3)^2 +7(-3)+3 \n" ); document.write( "=18-21+3 \n" ); document.write( "=0 \n" ); document.write( "so x = -3 is another root \n" ); document.write( "and on dividing 2x^2+7x+3 with x+3 we get 2x+1 \n" ); document.write( "and the root of 2x+1 = 0 is x = -0.5 \n" ); document.write( "so the roots are x = 2,-3,-0.5 \n" ); document.write( " |