document.write( "Question 60355: Factor completely\r
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document.write( "a. 4b^2 +3b - 10\r
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document.write( "b. -5g^2 + 2g + 16 \n" );
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Algebra.Com's Answer #43128 by mystic1306(20)![]() ![]() You can put this solution on YOUR website! 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 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \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) \n" ); document.write( " \n" ); document.write( " |