document.write( "Question 257025: Good evening\r
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document.write( "One more question. I think I have the answer yet i'm only 60% sure.\r
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document.write( "Find all the zeros of f(x) if f(x) =(x^2-4)^3. Identify any multiple zeros.\r
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document.write( "f(x)=0
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document.write( "(x^2-4)^3=0
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document.write( "F(4)=(4^2-4)^3=48-12=36-36=0
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document.write( "F(0)=(0^2-4)^3=0-12=-12+12=0\r
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document.write( "Answer: {4, (triple zero)}\r
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document.write( "Thank you much \n" );
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Algebra.Com's Answer #189062 by drk(1908)![]() ![]() ![]() You can put this solution on YOUR website! The original question was \n" ); document.write( "f(x) =(x^2-4)^3. \n" ); document.write( "step 1 - set = 0 to get \n" ); document.write( "(i) \n" ); document.write( "take a cube root to get \n" ); document.write( "(ii) \n" ); document.write( "Factoring, we get \n" ); document.write( "(iii) \n" ); document.write( "x = 2 and x = -2 \n" ); document.write( "It turns out that \n" ); document.write( "x = 2 with multiplicity 3 \n" ); document.write( "x = -2 with multiplicity 3 \n" ); document.write( " |