document.write( "Question 91265: Hello out there,I need some help with some problems,The first one is,Factor.Write prime if the expression cannot be factored:x^2+x+6.The next one is,Factor.Write prime if expression cannot be factored:12w^2+10w-8.The third one is,Factor.Write prime if the expression cannot be factored:6f^2+5f+2.And the last one is,Factor.Write prime if the expression cannot be factored :3a^2+9a+6.Thanks to whoever can help. \n" ); document.write( "
Algebra.Com's Answer #66389 by ankor@dixie-net.com(22740)\"\" \"About 
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The first one is,Factor.Write prime if the expression cannot be factored:x^2+x+6.The next one is,Factor.Write prime if expression cannot be factored:12w^2+10w-8.The third one is,Factor.Write prime if the expression cannot be factored:6f^2+5f+2.And the last one is,Factor.Write prime if the expression cannot be factored :3a^2+9a+6.
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\n" ); document.write( "x^2 + x + 6 is prime; no combination of factors of 6, will give you the coefficient of x
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\n" ); document.write( "12w^2 + 10w - 8
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\n" ); document.write( "You can see that all coefficients, 12, 10, and -8 are even, so you can factor out 2
\n" ); document.write( "2(6w^2 + 5w - 4); about all we can do with it
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\n" ); document.write( "6f^2 + 5f + 2 is prime, same as the 1st one
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\n" ); document.write( "3a^2 + 9a + 6
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\n" ); document.write( "You can see that all coefficients are multiples of 3:
\n" ); document.write( "3(a^2 + 3a + 2)
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\n" ); document.write( "And that can be factored to:
\n" ); document.write( "3(a+1)(a+2)
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\n" ); document.write( "When doing these, check to see if any number can be extracted from the coefficients, like we just did. Then see if it can be factored, be studying
\n" ); document.write( "the expression. As a last resort you can use the quadratic formula to see if it has integer values as a solution. If not, it is prime
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