document.write( "Question 389687: How do I determine the end behavior of the graph of the function?
\n" ); document.write( "f(x)=-3x^6+2x^4+4x^3-2\r
\n" ); document.write( "\n" ); document.write( "How do I divide (3x^4-3x^3-6x-10)/(x-2) by using long division?\r
\n" ); document.write( "\n" ); document.write( "How do I divide (4x^4-12x^3-48x-60)/(x-4) by using long division?\r
\n" ); document.write( "\n" ); document.write( "For the function, use synthetic division and substitution to determine whether the given value is a zero of the function
\n" ); document.write( "P(x)=3x^4-10x^3-29x^2+16x+20, P(1)\r
\n" ); document.write( "\n" ); document.write( "How do I use substitution to determine whether x-3 is a factor of 4x^4-9x^3-109x^2+225x+225?
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Algebra.Com's Answer #276243 by ewatrrr(24785) $\"\"$ $\"About$

You can put this solution on YOUR website!


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document.write( "Hi, Might recommend separately posting any other questions You may have
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document.write( "so as we as Tutors can best assist You further. 
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document.write( "dividing (3x^4-3x^3-6x-10)/(x-2) by using long division
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document.write( "          3x^3 + 3x^2 + 6x +6   Remainder = 2
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document.write( "    __________________________
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document.write( "x-2 |    3x^4  -3x^3  -6x-10
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document.write( "      - (3x^4 - 6x^3)
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document.write( "       ---------------
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document.write( "                3x^3   
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document.write( "             - (3x^3 - 6x^2)
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document.write( "                --------------
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document.write( "                        6x^2 -6x
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document.write( "                      -(6x^2 -12x)
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document.write( "                          --------
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document.write( "                               6x -10
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document.write( "                             -(6x -12)
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document.write( "                              --------
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document.write( "                                   2
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document.write( "dividing (4x^4-12x^3-48x-60)/(x-4)done in similar fashion resulting in
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document.write( "4x^3 + 4x^2 + 16x + 16  Remainder = 4\r
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document.write( "As to: Using substitution to determine if an x value results in P(x) = 0
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document.write( "simply use that value of x in the function:
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document.write( "P(1)=3x^4-10x^3-29x^2+16x+20 = 3 -10 -29 + 16 + 20 = (29-29)= 0\r
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document.write( "As to using substitution to determine whether x-3 is a factor of 
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document.write( "4x^4-9x^3-109x^2+225x+225...(x-3) is a factor only if f(3) = 0
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document.write( "f(x) =4x^4-9x^3-109x^2+225x+225
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document.write( "f(3) = 4*81 - 9*27 - 109*9 + 255*3 + 225 = (1224 - 1224) = 0  (x-3) is a factor \n" );
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