document.write( "Question 60355: Factor completely\r
\n" ); document.write( "\n" ); document.write( "a. 4b^2 +3b - 10\r
\n" ); document.write( "\n" ); document.write( "b. -5g^2 + 2g + 16
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Algebra.Com's Answer #43128 by mystic1306(20)\"\" \"About 
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4b^2 + 3b - 10
\n" ); document.write( "First you want to multiply 10 and 4
\n" ); document.write( "That equals 40
\n" ); document.write( "now find multiples of 40 that will equal 3 (for the 3b)
\n" ); document.write( "Multiples of 40:
\n" ); document.write( "1, 40 1+40 1-40 does not =3
\n" ); document.write( "2, 20 2+20 2-20 doesn't =3
\n" ); document.write( "4, 10 same thing
\n" ); document.write( "5, 8 8-5 equals 3\r
\n" ); document.write( "\n" ); document.write( "SO..write the equation
\n" ); document.write( "4b^2 + 8b - 5b - 10\r
\n" ); document.write( "\n" ); document.write( "take out the greatest commom factor 4b^2 +8 and -5b -10\r
\n" ); document.write( "\n" ); document.write( "4b is the GCF of 4b^2 + 8b, then divide the 4b out
\n" ); document.write( "-5 is the GCF of 5b - 10, then divide -5 out
\n" ); document.write( "SO write\r
\n" ); document.write( "\n" ); document.write( "4b(b+2)-5(b+2)
\n" ); document.write( "-5 divided by -10 makes positive 2
\n" ); document.write( "VERY IMPORTANT: the numbers in the () must match
\n" ); document.write( "Now finish it the (b+2) and the other (b+2) are combined into a single expression and 4b and -5 are put in () (4b-5)
\n" ); document.write( "Put them together and your answer is:
\n" ); document.write( "(b+2)(4b-5)\r
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\n" ); document.write( "\n" ); document.write( "-5g^2 + 2g + 16
\n" ); document.write( "multiply 16 and 5 =80
\n" ); document.write( "multiples of 80
\n" ); document.write( "1, 80 1+ 80 1-80 doesn't =2 (for the 2g)
\n" ); document.write( "2,40
\n" ); document.write( "4, 20
\n" ); document.write( "5, 10
\n" ); document.write( "8,10 10-8=2\r
\n" ); document.write( "\n" ); document.write( "-5g^2 +10g -8g + 16 pull out GCF of -5g^2 +10g and -8g + 16 and divide
\n" ); document.write( "-5g(g-2) -8(g-2) combine (g-2) and (-5g-8)
\n" ); document.write( "(g-2)(-5g-8)
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