+280 What are the coordinates of the points where the graphs of \($f(x)=x^3 + x^2 - 3x + 5$\)and \(g(x)=x^3+2x^2-8x+11\) intersect?
Give your answer as a list of points separated by commas, with the points ordered such that their -coordinates are in increasing order. (So "(1,-3), (2,3), (5,-7)" - without the quotes - is a valid answer format.)
+129850 Set the functions equal
x^3 + x^2 - 3x + 5 = x^3 + 2x^2 - 8x + 11 simplify as
x^2 -5x + 6 = 0 factor as
(x -3) ( x -2) = 0
x - 3 = 0 x - 2 = 0
x = 3 x = 2
When x = 2 y = 2^3 + 2^2 -3(2) + 5 = 11
When x = 3 y = 3^3 + 3^2 - 3(3) + 5 = 32
The intersection pts are ( 2, 11) (3, 32)
