document.write( "Question 265254: Write a polynomial in factored and standard form:
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document.write( "P is of degree 2; P(0) = 14; zeros : 1 and -2 \n" );
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Algebra.Com's Answer #195074 by drk(1908)![]() ![]() ![]() You can put this solution on YOUR website! Lets look at the zeros first: 1 and -2 \n" ); document.write( "x = 1 and x = -2 \n" ); document.write( "set each equal to zero to get \n" ); document.write( "(x-1) = 0 and (x+2) = 0 \n" ); document.write( "multiply to get \n" ); document.write( "(x-1)(x+2) = 0 \n" ); document.write( "so far, \n" ); document.write( "P(x) = x^2-x - 2 \n" ); document.write( "next we see \n" ); document.write( "P(0) = 14 \n" ); document.write( "substitute to get \n" ); document.write( "14 = 0-2-2 \n" ); document.write( "which is \n" ); document.write( "14 = -2 \n" ); document.write( "what do you have to do to the -2 to make it 14? \n" ); document.write( "ANSWER: multiply by -7 \n" ); document.write( "So, p(x) becomes \n" ); document.write( "P(x) = -7x^2 + 7x + 14 \n" ); document.write( " |