document.write( "Question 1120261: In polynomial p(x) = 3(x^2 + 10x + 5) - 5(x-k) , k is a constant. If p(x) is divisible by x, what is the value of k?\r
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Algebra.Com's Answer #735925 by ikleyn(52782)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "The fact that the polynomial p(x) is divisible by \"x\" means that its constant term is zero.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The constant term of this polynomial is (5 + 5k), so, 5 + 5k must be equal to zero:\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 5 + 5k = 0.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Hence, k = -1.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |