document.write( "Question 416193: Which of the following trinomials is prime over the set of rational numbers?
\n" ); document.write( "A x2 – 9x + 12
\n" ); document.write( "B x2 – x – 12
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\n" ); document.write( "D x2 + 7x + 12 \n" ); document.write( "

Algebra.Com's Answer #291647 by ewatrrr(24785) $\"\"$ $\"About$

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document.write( "Hi
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document.write( "Note: trinomials that are prime over the set of rational numbers will NOT factor.
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document.write( "A Tinomial ax^2 + bx + c 'will factor' if (b^2-4ac)is a perfect square or zero.\r
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document.write( "A. x2 – 9x + 12   81-48 = 33  Prime  ( 33 is NOT a perfect square)
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document.write( "B. x2 – x – 12    1+48  = 49 (49 is a perfect square)  factoring results:  (x-4)(x+3)
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document.write( "C. x2 + 4x – 12  16+48  = 64 (64 is a perfect square)  factoring results:   (x+6)(x-2)
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document.write( "D. x2 + 7x + 12   49-48 = 1  (1 is a perfect square)   factoring results:   (x+3)(x+4)
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