document.write( "Question 67720: 5. x2+4x+3\r
\n" ); document.write( "\n" ); document.write( "6. x2+6x-2\r
\n" ); document.write( "\n" ); document.write( "10. 3x2+4x-5\r
\n" ); document.write( "\n" ); document.write( "14. -4x2+8x+1 \n" ); document.write( "
Algebra.Com's Answer #48174 by stanbon(75887)\"\" \"About 
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5. x^2+4x+3
\n" ); document.write( "Find two numbers whose product is 3 and whose sum is 4
\n" ); document.write( "The numbers are 3 and 1
\n" ); document.write( "Put 3x+x in place of 4x to get:
\n" ); document.write( "x^2+3x+x+3
\n" ); document.write( "Factor the 1st two and the last two terms separately to get:
\n" ); document.write( "x(x+3)+1(x+3)
\n" ); document.write( "Factor out the common factor of (x+3) to get:
\n" ); document.write( "(x+3)(x+1)\r
\n" ); document.write( "\n" ); document.write( "6. x^2+6x-2
\n" ); document.write( "Use the quadratic formula to get:
\n" ); document.write( "x=[-6+-sqrt(36-4*-2)]/2
\n" ); document.write( "x=[-6+-sqrt44)]/2
\n" ); document.write( "x=[-6+-2sqrt11]/2
\n" ); document.write( "x=[-3+-sqrt11]
\n" ); document.write( "Factors are
\n" ); document.write( "(x+3+sqrt11)(x+3-sqrt11)
\n" ); document.write( "----------------\r
\n" ); document.write( "\n" ); document.write( "10. 3x^2+4x-5
\n" ); document.write( "x=[4+-sqrt(16-4*3*-5)]/6
\n" ); document.write( "x=[4+-sqrt(76)]/6
\n" ); document.write( "x=[4+-2sqrt19)/6
\n" ); document.write( "x=[2+-sqrt19]/3
\n" ); document.write( "x=(2/3)+(1/3)sqrt19) or x=(2/3)-(1/3)sqrt19
\n" ); document.write( "Factors: (x-[(2/3)+(1/3)sqrt19)][x-[(2/3)-(1/3)sqrt19]]\r
\n" ); document.write( "\n" ); document.write( "14. -4x^2+8x+1
\n" ); document.write( "x=[-8+-sqrt(64-4*-4*1)]/-8
\n" ); document.write( "x=[-8+-sqrt80]/-8
\n" ); document.write( "x=[1+-(1/2)sqrt5]
\n" ); document.write( "Factors: (x-[1+(1/2)sqrt5]][x-[1-(1/2)sqrt5]]
\n" ); document.write( "--------------
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
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