document.write( "Question 465252: please help me solve these 3 equations use the rational root theorem to list the possible rational roots for each of the following equations f(x)=x^2+2x+1 that is number 1 and number 2 is f(x)=x^2-2x+5 and number 3 f(x)=x^2+4x-5 please and thank you \n" ); document.write( "
Algebra.Com's Answer #318800 by ewatrrr(24785)\"\" \"About 
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document.write( "Hi,
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document.write( "Use the rational root theorem
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document.write( "IF f(x)=x^2+2x+1 = 0  Green
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document.write( "(x+1)(x+1)=0  |x = -1 is the single rational solution\r
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document.write( "IF f(x)=x^2-2x+5 = 0   Blue
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document.write( "(x-1)^2 + 4 =0 Completing the square
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document.write( "|x = 1 ± 2i  NO rational roots\r
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document.write( "IF f(x)=x^2+4x-5 = 0   Purple
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document.write( "(x+5)(x-1)= 0 
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document.write( "(x+5)= 0
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document.write( "   x = -5
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document.write( "(x-1)= 0  
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document.write( "   x = 1
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document.write( "x = -5 and x = 1 are the rational solutions
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