document.write( "Question 604430: Please can you help me with these and explain step by step thank you:\r
\n" ); document.write( "\n" ); document.write( "1) x^2+8+7=0\r
\n" ); document.write( "\n" ); document.write( "2)15x^3-51x^2+18x\r
\n" ); document.write( "\n" ); document.write( "3) 6x^2+17x+12\r
\n" ); document.write( "\n" ); document.write( "4) 147x^2y-27
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Algebra.Com's Answer #381230 by mananth(16946)\"\" \"About 
You can put this solution on YOUR website!
6x^2+17x+12\r
\n" ); document.write( "\n" ); document.write( "compare this equation with ax^2+bx+c\r
\n" ); document.write( "\n" ); document.write( "All problems have to be worked out the following way.\r
\n" ); document.write( "\n" ); document.write( "coefficient first term =a= 6
\n" ); document.write( "coefficient II term = b=17
\n" ); document.write( "coefficient III term = c=12\r
\n" ); document.write( "\n" ); document.write( "Multiply a&c we get 72\r
\n" ); document.write( "\n" ); document.write( "factorize 72 = 2*2*2*3*3
\n" ); document.write( "split the factors in two groups such that when you add up the groups you should get 17.
\n" ); document.write( "In this case 2*2*2=8
\n" ); document.write( "3*3=9
\n" ); document.write( "9+8 =17
\n" ); document.write( "Rewrite the polynomial
\n" ); document.write( "6x^2+9x+8x+12
\n" ); document.write( "3x(x+3)+4(x+3)
\n" ); document.write( "(x+3)(3x+4)\r
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\n" ); document.write( "\n" ); document.write( "15x^3-51x^2+18x
\n" ); document.write( "facor out the common term
\n" ); document.write( "3x(5x^2-17x+6)\r
\n" ); document.write( "\n" ); document.write( "Follow the same steps as above
\n" ); document.write( "a=5,b=-17,c=6
\n" ); document.write( "ac=30, factors = 2*3*5
\n" ); document.write( "groups -15 & -2 = -17 which is b
\n" ); document.write( "3x(5x^2-15x-2x+6)
\n" ); document.write( "3x(5x(x-3)-2(x-3))
\n" ); document.write( "3x(x-3)(5x-2)\r
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