document.write( "Question 1018197: NEED ANSWERS NOW PLEASE
\n" ); document.write( "1. Determine the GCF of 35w2z3 and 42w3z.
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\n" ); document.write( " 2. Factor each of the following polynomials using the greatest common factor.
\n" ); document.write( "/2 a. 5x3 + 25x2 + 10x
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\n" ); document.write( "/2 b. 10 000m2n2 + 1 000mn2 + 20 000m2
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\n" ); document.write( "/2 3. Verify that 3x(5x2 – 7x + 12) is equivalent to 15x3 – 21x2 + 36x.
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\n" ); document.write( " 4. Consider the expression 5(4x – 3) + x(4x – 3).
\n" ); document.write( "/1 a. What is the GCF of 5(4x – 3) + x(4x – 3)? Explain.
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\n" ); document.write( "/1 b. Factor 5(4x – 3) + x(4x – 3) using the GCF.
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Algebra.Com's Answer #634359 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
1. Determine the GCF of 35w²z³ and 42w³z.
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document.write( "The biggest number that will divide into both 35 \r\n" );
document.write( "and 42 is 7.\r\n" );
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document.write( "The largest exponent of w that does not exceed any \r\n" );
document.write( "of the exponents of w is w². (Can't use w³ because \r\n" );
document.write( "that exceeds w²)\r\n" );
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document.write( "The largest exponent of z that does not exceed any \r\n" );
document.write( "of the exponents of z is z. (Can't use z³ because \r\n" );
document.write( "that exceeds z which is z1.)\r\n" );
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document.write( "Answer:  7w²z\r\n" );
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\n" ); document.write( " 2. Factor each of the following polynomials using
\n" ); document.write( "the greatest common factor.\r
\n" ); document.write( "\n" ); document.write( "/2 a. 5x³ + 25x² + 10x
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document.write( "5 is the largest number that goes into 5, 25 and 10.  \r\n" );
document.write( "x1 or just x is the largest exponent of x \r\n" );
document.write( "that does not exceed any of the exponents of x.\r\n" );
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document.write( "Answer:  5x(x²+5x+2)\r\n" );
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\n" ); document.write( "/2 b. 10000m²n² + 1000mn² + 20000m²
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document.write( "1000 is the largest number that goes into 10000, 1000 \r\n" );
document.write( "and 2000.  m1 or just m is the largest \r\n" );
document.write( "exponent of m that does not exceed any of the \r\n" );
document.write( "exponents of m.\r\n" );
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document.write( "There is no exponent of n that does not exceed any of \r\n" );
document.write( "the exponents of n, because there is no n in the third \r\n" );
document.write( "term.  So n cannot be taken out.\r\n" );
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document.write( "Answer: 1000m(10mn² + n² + 20m)\r\n" );
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\n" ); document.write( "\n" ); document.write( "/2 3. Verify that 3x(5x² – 7x + 12) is equivalent to
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document.write( "Distribute to remove parentheses:\r\n" );
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document.write( "Answer:\r\n" );
document.write( "3x(5x² – 7x + 12)\r\n" );
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document.write( "3x(5x²) – 3x(7x) + 3x(12)\r\n" );
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document.write( "15x³ - 21x² + 36x\r\n" );
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\n" ); document.write( " 4. Consider the expression 5(4x – 3) + x(4x – 3).
\n" ); document.write( "/1 a. What is the GCF of 5(4x – 3) + x(4x – 3)?
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document.write( "We can factor out (4x  – 3) leaving the 5 and \r\n" );
document.write( "the x added in parentheses\r\n" );
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document.write( "Answer: (4x - 3)\r\n" );
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document.write( "/1  b.   Factor 5(4x – 3) + x(4x  – 3) using the GCF.\r\n" );
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document.write( "Answer: (4x - 3)(5 + x)\r\n" );
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document.write( "Edwin
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