document.write( "Question 6534: How do I use synthetic substitution to find f(3) for f(x) = 2x^4 - 3x^2 - x + 2 \n" ); document.write( "
Algebra.Com's Answer #3545 by ichudov(507)\"\" \"About 
You can put this solution on YOUR website!
you wipe every \"x\" with your eraser and write in \"3\" instead of x.\r
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\n" ); document.write( "\n" ); document.write( "\"2x%5E4+-+3x%5E2+-+x+%2B+2\"
\n" ); document.write( "\"2%2A3%5E4+-+3%2A3%5E2+-+3+%2B+2\"\r
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Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:

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  • Graphical form: \"2%2A3%5E4-3%2A3%5E2-3%2B2\" simplifies to \"134\"
  • Text form: 2*3^4-3*3^2-3+2 simplifies to 134
  • Cartoon (animation) form: \"simplify_cartoon%28+2%2A3%5E4-3%2A3%5E2-3%2B2+%29\"
    For tutors: simplify_cartoon( 2*3^4-3*3^2-3+2 )
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  • If you have a website, here's a link to this solution.
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DETAILED EXPLANATION

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Look at \"2%2Ahighlight_red%28+3+%29%5Ehighlight_red%28+4+%29-3%2A3%5E2-3%2B2\".
Replace constants in factor: \"highlight_red%28+3+%29\",\"highlight_red%28+4+%29\" with \"highlight_green%28+81+%29\"
It becomes \"2%2Ahighlight_green%28+81+%29-3%2A3%5E2-3%2B2\".
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Look at \"2%2A81-3%2Ahighlight_red%28+3+%29%5Ehighlight_red%28+2+%29-3%2B2\".
Replace constants in factor: \"highlight_red%28+3+%29\",\"highlight_red%28+2+%29\" with \"highlight_green%28+9+%29\"
It becomes \"2%2A81-3%2Ahighlight_green%28+9+%29-3%2B2\".
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Look at \"2%2A81-3%2A9-highlight_red%28+3+%29%2Bhighlight_red%28+2+%29\".
Added fractions or integers together
It becomes \"2%2A81-3%2A9%2Bhighlight_green%28+-1+%29\".
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Look at \"2%2A81-3%2A9%2Bhighlight_red%28+-1+%29\".
Removed extra sign in front of \"-1\"
It becomes \"2%2A81-3%2A9-highlight_green%28+1+%29\".
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Look at \"highlight_red%28+2+%29%2Ahighlight_red%28+81+%29-3%2A9-1\".
Multiplied numerator integers
It becomes \"highlight_green%28+162+%29-3%2A9-1\".
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Look at \"162-highlight_red%28+3+%29%2Ahighlight_red%28+9+%29-1\".
Multiplied numerator integers
It becomes \"162-highlight_green%28+27+%29-1\".
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Look at \"highlight_red%28+162+%29-highlight_red%28+27+%29-highlight_red%28+1+%29\".
Added fractions or integers together
It becomes \"highlight_green%28+134+%29\".
Result: \"134\"
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Universal Simplifier and Solver

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Done!
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