document.write( "Question 961904: for f(x)= x^3-7x^2+8x+16,
\n" ); document.write( "a, find f(10) using synthetic division.
\n" ); document.write( "b, is 10 a zero of the function? Explain.
\n" ); document.write( "c, use synthetic division to determine if x+1 is a factor of f(x).
\n" ); document.write( "d, is -1 a zero of the function? Explain.
\n" ); document.write( "e, list all of the zeros of the polynomial.
\n" ); document.write( "f, write the polynomial function as a product of linear factors \n" ); document.write( "

Algebra.Com's Answer #587701 by josgarithmetic(39617) $\"\"$ $\"About$

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Review the Factor and the Remainder Theorems.\r
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\n" ); document.write( "\n" ); document.write( "If the synthetic division for checking a possible root gives a remainder, this means that the root checked is (*) not a root of the function, and (*) the remainder is the value of the function at that x value which has given that remainder r, or checking any root c, $\"f%28c%29=r\"$ . THAT will guide you in answering some of your questions. In case the remainder were 0, this means that the value c checked is a root.\r
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\n" ); document.write( "\n" ); document.write( "If you know how to do synthetic division, then the possible roots to check are -1, -2, -4, -8, -16, 1, 2, 4, 8, 16. Not more than any three of them would be found to be roots of f. \n" ); document.write( "

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