document.write( "Question 63578: Could someone please help?\r
\n" ); document.write( "\n" ); document.write( "Use synthetic division and the Remainder Theorem to find P(6)if P(x)=2x^4-15x^3-4x+3\r
\n" ); document.write( "\n" ); document.write( "Use the synthetic division to determine if x-3 is a factor of 3x^4-3x^3-18x^2+2x-6. \r
\n" ); document.write( "\n" ); document.write( "List all of the potential rational zeros of the polynominal function P(x)=4x^3-3x^2+5x-6. Do not attempt to find the zeros.\r
\n" ); document.write( "\n" ); document.write( "Use synthetic division to factor P(x)=10x^3+7x^2-29x-6, and write P(x) as a product of linear factors.\r
\n" ); document.write( "\n" ); document.write( "Thank you!!!
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Algebra.Com's Answer #44338 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Use synthetic division and the Remainder Theorem to find P(6)if P(x)=2x^4-15x^3-4x+3
\n" ); document.write( "6)....2.....15.....-4.....3
\n" ); document.write( "......2.....27....158.|..951
\n" ); document.write( "P(6)=951
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\n" ); document.write( "Use the synthetic division to determine if x-3 is a factor of 3x^4-3x^3-18x^2+2x-6.
\n" ); document.write( "3).....3....-3....-18....2....-6
\n" ); document.write( ".......3.....6......0....2.....0
\n" ); document.write( "Yes, x-3 is a factor.
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\n" ); document.write( "List all of the potential rational zeros of the polynominal function P(x)=4x^3-3x^2+5x-6. Do not attempt to find the zeros.
\n" ); document.write( "The rationals are p/q where:
\n" ); document.write( "p is a factor of 6 and q is a factor of 4:
\n" ); document.write( "p=+-1,+-2,+-3,+-6
\n" ); document.write( "q=+-1,+-2,+-4
\n" ); document.write( "Then p/q= (+-1),(+-2),(+-3),(+-6),(+-1/2),(+-3/2).(+-1/4),(+-3/4)
\n" ); document.write( "---------------
\n" ); document.write( "Use synthetic division to factor P(x)=10x^3+7x^2-29x-6, and write P(x) as a product of linear factors.
\n" ); document.write( "Zeroes are x=-2,x=-1/5, x=3/2
\n" ); document.write( "P(x)=(x+2)(5x+1)(2x-3)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
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