document.write( "Question 1209341: What is the coefficient of x in (x^3 + x^2 + x + 1)(7x^6 - 3x^5 + 8x - 10)? \n" ); document.write( "

Algebra.Com's Answer #848580 by math_tutor2020(3817) $\"\"$ $\"About$

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\n" ); document.write( "The other tutor provides the fastest route.
\n" ); document.write( "My method isn't exactly efficient but I'll discuss it anyway.\r
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\n" ); document.write( "\n" ); document.write( "f(x) = x^3 + x^2 + x + 1
\n" ); document.write( "g(x) = 7x^6 - 3x^5 + 8x - 10
\n" ); document.write( "The goal is to find the x coefficient in f(x)*g(x)\r
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\n" ); document.write( "\n" ); document.write( "I'll use the box method
\n" ); document.write( "Place the terms of f(x) along the top.
\n" ); document.write( "Place the terms of g(x) along the left side.
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	x^3	x^2	x	1
7x^6
-3x^5
8x
-10

\r
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\n" ); document.write( "\n" ); document.write( "To fill in each cell, you multiply the headers.
\n" ); document.write( "Example: x^3 times 7x^6 = 7x^9 goes in the top left corner.
\n" ); document.write( "We could fill this entire table but instead I'll only fill out the cells that have an x term
\n" ); document.write( "That would be -10x and 8x shown below
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	x^3	x^2	x	1
7x^6
-3x^5
8x				8x
-10			-10x

\n" ); document.write( "Combine like terms to get -2x\r
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\n" ); document.write( "\n" ); document.write( "Answer: -2
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