document.write( "Question 585333: These questions that are on Factoring Polynomials: ax squared plus bx plus c.
\n" ); document.write( "1.negative 6x squared minus x plus 2\r
\n" ); document.write( "\n" ); document.write( "2.negative ten x spuared plus 11x plus 6 \n" ); document.write( "
Algebra.Com's Answer #373282 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
start with -6x^2 - x + 2 = 0
\n" ); document.write( "multiply both sides of this equation by -1 to get:\r
\n" ); document.write( "\n" ); document.write( "6x^2 + x - 2 = 0
\n" ); document.write( "factor this to get:
\n" ); document.write( "(2x-1)*(3x+2) = 0
\n" ); document.write( "solve for x to get:
\n" ); document.write( "x = 1/2 or x = -2/3
\n" ); document.write( "substitute in original equation to see if that works.
\n" ); document.write( "i confirmed that they're good.
\n" ); document.write( "if you multiply (2x-1) * (3x+2) you'll get:
\n" ); document.write( "6x^2 + 4x - 3x - 2 which simplifies to:
\n" ); document.write( "6x^2 + x - 2 which is set equal to 0 and then multiplied by -1 to get back to the original equation of:
\n" ); document.write( "-6x^2 - x + 2.\r
\n" ); document.write( "\n" ); document.write( "problem 2:
\n" ); document.write( "-10x^2 + 11x + 6
\n" ); document.write( "set it equal to 0 to get:
\n" ); document.write( "-10x^2 + 11x + 6 = 0
\n" ); document.write( "multiply both sides of the equation by -1 to get:
\n" ); document.write( "10x^2 - 11x - 6 = 0
\n" ); document.write( "multiplying by -1 gets the first term to be positive which makes factoring a lot easier.
\n" ); document.write( "equation to factor is now:
\n" ); document.write( "10x^2 - 11x - 6 = 0
\n" ); document.write( "multiplying both sides of the equation by -1 does not change the equality.
\n" ); document.write( "factors for this are:
\n" ); document.write( "(5x+2) * (2x-3)
\n" ); document.write( "this results in:
\n" ); document.write( "x = -2/5 or x = 3/2
\n" ); document.write( "answers have been substituted in the original equation and confirmed as good.
\n" ); document.write( "if you need an explanation as to how this was done, let me know but i don't have time to do it now.
\n" ); document.write( "earliest i'll be able to get back to you would be tomorrow morning.\r
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