document.write( "Question 475560: Find the x and y intercepts\r
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Algebra.Com's Answer #326105 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Factor this by grouping \n" ); document.write( "P(x) = x^3 - x + 4x^2 - 4 \n" ); document.write( "P(x) = (x^3 - x) + (4x^2 - 4) \n" ); document.write( "factor \n" ); document.write( "P(x) = x(x^2 - 1) + 4(x^2 - 1) \n" ); document.write( "Factor out (x^2-1) \n" ); document.write( "P(x) = (x^2 - 1)(x + 4) \n" ); document.write( "x^2 = 1 \n" ); document.write( "x = \n" ); document.write( "x = 1 \n" ); document.write( "x = -1 \n" ); document.write( "and \n" ); document.write( "x = -4 \n" ); document.write( ": \n" ); document.write( "x intercepts: -4, -1, +1 \n" ); document.write( ": \n" ); document.write( "Find the y intercept, occurs when x=0 \n" ); document.write( "y = x^3 + 4x^2 - x - 4 \n" ); document.write( "y = 0^3 + 4(0)^2 - 0 - 4 \n" ); document.write( "y = -4 is the y intercept \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "graphically \n" ); document.write( " |