find the x and y intercepts of P(x)=1x^4−3x^3−40x^2

Answer 1

y intercept is the origin

one x intercept is also the origin. actually, graphically it's a point of tangency, where the graph or curve just touches the x axis but doesn't intersect or cross the x axis

the other 2 x intercepts are found from solving

x^2 -3x -40 = 0

if you can't factor it, use the quadratic formula

(x-8)(x+5) = 0

x =-5 and 8 are the other two x intercepts