document.write( "Question 982436: Use the Factor Theorem to determine whether the first polynomial is a factor of the second.\r
\n" ); document.write( "\n" ); document.write( "x + 2; x^8 + 2x^7 + x + 2 \n" ); document.write( "
Algebra.Com's Answer #603308 by ikleyn(52864)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "The  Factor Theorem  says  (see the  article  in  Wikipedia,  or the lesson  Divisibility of polynomial f(x) by binomial x-a  in this site,  or the lesson  The Factor Theorem  from the other site):
If a polynomial  f(x)  has the number  x = a  as the root,  i.e.  f(a) = 0,  then the polynomial  f(x)  has the binomial  x-a  as the factor.  In other words,  the binomial  x-a  divides  f(x)  without a remainder.
In your case,  in order to prove that  \"x%5E8+%2B+2x%5E7+%2B+x+%2B+2\"  has the binomial  x+2  as the factor,  you simply should to check that the number  -2  is the root of this polynomial.  It is easy to do.  Simply substitute the number  -2  into the polynomial and calculate the result. \r
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\n" ); document.write( "\n" ); document.write( "Please do it yourself.\r
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