document.write( "Question 970032: Please help!! I don't know what I am doing!!\r
\n" ); document.write( "\n" ); document.write( "Use the remainder theorem to find the remainder when f(x) is divided by x+4. Then use the factor theorem to determine whether x+4 is a factor of f(x).
\n" ); document.write( "f(x)=4x^6-64x^4+x^2-18\r
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Algebra.Com's Answer #592844 by MathTherapy(10552) $\"\"$ $\"About$

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\n" ); document.write( "Please help!! I don't know what I am doing!!\r
\n" ); document.write( "\n" ); document.write( "Use the remainder theorem to find the remainder when f(x) is divided by x+4. Then use the factor theorem to determine whether x+4 is a factor of f(x).
\n" ); document.write( "f(x)=4x^6-64x^4+x^2-18\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Thank you in advance!!
\n" ); document.write( "

Divisor of polynomial: x + 4, so x = - 4. 
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document.write( "From remainder theorem,  ----- Substituting - 4 for x to determine remainder
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document.write( "f(- 4) = 16,384 – 16,384 + 16 - 18
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document.write( "f(- 4), or remainder is: 
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document.write( "Since there's a remainder of - 2 when x + 4 is used as a factor, or when x = - 4, then x + 4 is NOT a factor.
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document.write( "Remainder should be 0 (zero) for a polynomial to be considered a factor of another polynomial. \n" );
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