document.write( "Question 62975: GIVEN THAT (3x-a)(x-2)(x-7)=3x3-32x2+81x-70, DETERMINE THE VALUE OF a. \n" ); document.write( "
Algebra.Com's Answer #43808 by uma(370) ![]() You can put this solution on YOUR website! \n" ); document.write( "(3x-a)(x-2)(x-7) = 3x^3 - 32x^2 + 81x - 70\r \n" ); document.write( "\n" ); document.write( "==> (3x-a)(x^2 - 2x - 7x + 14) = 3x^3 - 32x^2 + 81x - 70\r \n" ); document.write( "\n" ); document.write( "==> (3x-a)(x^2 - 9x + 14) = 3x^3 - 32x^2 + 81x - 70\r \n" ); document.write( "\n" ); document.write( "==> 3x^3 - 27x^2 + 42x - ax^2 + 9ax - 14a = 3x^3 - 32x^2 + 81x - 70\r \n" ); document.write( "\n" ); document.write( "==> 3x^3 - x^2(27 + a) + x(42 + 9a) - 14a = 3x^3 - 32x^2 + 81x - 70\r \n" ); document.write( "\n" ); document.write( "Comparing the like terms we get,\r \n" ); document.write( "\n" ); document.write( "27 + a = 32 \n" ); document.write( "==> a = 32 - 27 \n" ); document.write( "==> a = 5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a = 5\r \n" ); document.write( "\n" ); document.write( "Good Luck!!! \n" ); document.write( " \n" ); document.write( " |