document.write( "Question 306987: Explain why x^2 + 5x + 8 is prime (not factorable). How do you know? Give 2 examples of a prime polynomial (they cannot both be binomials). Give 2 examples of polynomials that are NOT prime (they cannot both be binomials), factor them, and explain what you did to factor them.\r
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document.write( "How would you explain to another student how to decide if any given polynomial is prime or not? \n" );
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Algebra.Com's Answer #219634 by richwmiller(17219)![]() ![]() You can put this solution on YOUR website! x^2 + 5x + 8 \n" ); document.write( "try to factor \n" ); document.write( "1*8=8 \n" ); document.write( "we want factors of 8 which add up to 5 \n" ); document.write( "+ and - \n" ); document.write( "8/1 \n" ); document.write( "4/2 \n" ); document.write( "2/4 \n" ); document.write( "1/8 \n" ); document.write( "there are no factors of 8 with add up to 5 \n" ); document.write( "The polynomial is prime. \n" ); document.write( "x^2 + 6x + 8 \n" ); document.write( "find factors of 8 (see above) which add up to 6 \n" ); document.write( "(x+2)*(x+4) \n" ); document.write( " \n" ); document.write( " |