document.write( "Question 60930This question is from textbook College Algebra Graphs and Models
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document.write( ": I knew how to do these, but the expressions and the radicals confused me on this one. Please help!\r
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document.write( "(the (radical) indicates where the square root sign is, on both threes)\r
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document.write( "Find the polynomial function of degree 3 with the given numbers as zeros:\r
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document.write( "1-(radical)3,
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document.write( "1+(radical)3,
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document.write( "-2\r
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document.write( "Thank you \n" );
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Algebra.Com's Answer #41976 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Find the polynomial function of degree 3 with the given numbers as zeros: \r \n" ); document.write( "\n" ); document.write( "1 - SqRt(3), \n" ); document.write( "1 + SqRt(3), \n" ); document.write( "-2 \n" ); document.write( ": \n" ); document.write( "The given 0,s also represent 3 factors of the function: \n" ); document.write( "The last one, -2 is (x+2), right? \n" ); document.write( ": \n" ); document.write( "Regarding the other two, think of the doing completing the square in reverese: \n" ); document.write( ": \n" ); document.write( "x = 1 - SqRt(3) \n" ); document.write( "x - 1 = -Sqrt(3) \n" ); document.write( ": \n" ); document.write( "Square both sides: \n" ); document.write( "(x-1)^2 = -SqRt(3)* -SqRt(3), same as squaring +SqRt(3) \n" ); document.write( "x^2 - 2x + 1 = 3 \n" ); document.write( "x^2 - 2x + 1 - 3 = 0 \n" ); document.write( "x^2 - 2x - 2 = 0 \n" ); document.write( ": \n" ); document.write( "Mult the two factors: \n" ); document.write( "(x+2)* (x^2 - 2x - 2) = (x^3 - 4x^2 + 2x + 4) is the function with the given 0's \n" ); document.write( ": \n" ); document.write( "Did this help? \n" ); document.write( " \n" ); document.write( " |