document.write( "Question 34496This question is from textbook College algebra
\n" ); document.write( ": Page 210 Problem 44.g(10)
\n" ); document.write( "Question; Let g(x)= -x squared + 4x+1. \n" ); document.write( "

Algebra.Com's Answer #20773 by lyra(94) $\"\"$ $\"About$

You can put this solution on YOUR website!
So, you want g(10).
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Solved by pluggable solver: SUBSTITUTION solver -- compute expression given values

Your Result:

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Graphical form: $\"-x%5E2%2B4x%2B1\"$ simplifies to $\"-59\"$
Text form: -x^2+4x+1 simplifies to -59
Cartoon (animation) form: $\"simplify_cartoon%28+-x%5E2%2B4x%2B1+%29\"$
For tutors: simplify_cartoon( -x^2+4x+1 )
If you have a website, here's a link to this solution.

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DETAILED EXPLANATION

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Look at $\"-highlight_red%28+x+%29%5E2%2B4%2Ax%2B1\"$ .
Replaced x with 10
It becomes $\"-highlight_green%28+10+%29%5E2%2B4%2Ax%2B1\"$ .
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Look at $\"-highlight_red%28+10+%29%5Ehighlight_red%28+2+%29%2B4%2Ax%2B1\"$ .
Replace constants in factor: $\"highlight_red%28+10+%29\"$ , $\"highlight_red%28+2+%29\"$ with $\"highlight_green%28+100+%29\"$
It becomes $\"-highlight_green%28+100+%29%2B4%2Ax%2B1\"$ .
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Look at $\"-100%2B4%2Ahighlight_red%28+x+%29%2B1\"$ .
Replaced x with 10
It becomes $\"-100%2B4%2Ahighlight_green%28+10+%29%2B1\"$ .
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Look at $\"-highlight_red%28+100+%29%2B4%2A10%2Bhighlight_red%28+1+%29\"$ .
Added fractions or integers together
It becomes $\"highlight_green%28+-99+%29%2B4%2A10\"$ .
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Look at $\"highlight_red%28+-99+%29%2B4%2A10\"$ .
Removed extra sign in front of $\"-99\"$
It becomes $\"-highlight_green%28+99+%29%2B4%2A10\"$ .
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Look at $\"-99%2Bhighlight_red%28+4+%29%2Ahighlight_red%28+10+%29\"$ .
Multiplied numerator integers
It becomes $\"-99%2Bhighlight_green%28+40+%29\"$ .
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Look at $\"-highlight_red%28+99+%29%2Bhighlight_red%28+40+%29\"$ .
Added fractions or integers together
It becomes $\"highlight_green%28+-59+%29\"$ .
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Look at $\"highlight_red%28+-59+%29\"$ .
Removed extra sign in front of $\"-59\"$
It becomes $\"-highlight_green%28+59+%29\"$ .
Result: $\"-59\"$
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Universal Simplifier and Solver

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Done!

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\n" ); document.write( "\n" ); document.write( "Hope this helps,
\n" ); document.write( "lyra \n" ); document.write( "

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