document.write( "Question 396659: determine which binomial is a factor of
\n" ); document.write( "-2(cubed) + 14x(squared) -24x +20.\r
\n" ); document.write( "\n" ); document.write( "these are the choices:
\n" ); document.write( " a. x+5
\n" ); document.write( " b. x+20
\n" ); document.write( " c. x-24
\n" ); document.write( " d.x-5
\n" ); document.write( "

Algebra.Com's Answer #281338 by CharlesG2(834)\"\" \"About 
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determine which binomial is a factor of
\n" ); document.write( "-2(cubed) + 14x(squared) -24x +20.\r
\n" ); document.write( "\n" ); document.write( "these are the choices:
\n" ); document.write( " a. x+5
\n" ); document.write( " b. x+20
\n" ); document.write( " c. x-24
\n" ); document.write( " d.x-5\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "is this supposed to be -2x^3 + 14x^2 - 24x + 20 ?
\n" ); document.write( "I am guessing it is, if not, repost., so solving -2x^3 + 14x^2 - 24x + 20, the 2nd term of the binomial has to be a factor of 20, answer can not be c. (x - 24, 24 not factor of 20) or b. (x + 20, 20 too large), use synthetic division:
\n" ); document.write( ".................-2x^2 + 24x - 144
\n" ); document.write( "x + 5 --> -2x^3 + 14x^2 - 24x + 20
\n" ); document.write( "..........-2x^3 - 10x^2
\n" ); document.write( "..................24x^2 - 24x
\n" ); document.write( "..................24x^2 + 120x
\n" ); document.write( "........................- 144x + 20 --> x + 5 not gonna work, trying x - 5:
\n" ); document.write( ".................-2x^2 + 4x - 4
\n" ); document.write( "x - 5 --> -2x^3 + 14x^2 - 24x + 20
\n" ); document.write( "..........-2x^3 + 10x^2
\n" ); document.write( "...................4x^2 - 24x
\n" ); document.write( "...................4x^2 - 20x
\n" ); document.write( "....................... - 4x + 20
\n" ); document.write( "........................- 4x + 20 --> x - 5 works, answer is d.x-5\r
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