# Math Help - determine the points on the curve that corresponds to the given slope

1. ## determine the points on the curve that corresponds to the given slope

determine the points on the curve that corresponds to the given slope

y=(2x-1)(-4+2x^2) slope = 3

i tried simplifying the function
which got me 2x^3-x^2+8x+4
and equate the slope with the function
2x^3-x^2+8x+4=3
which got me
2x^3-x^2+8x-1

now how do i factor this equation and get the x-intercepts? i got stuck here....please here

2. Originally Posted by antikv
determine the points on the curve that corresponds to the given slope
y=(2x-1)(-4+2x^2) slope = 3
Expand to get $y=4x^3-2x^2-8x+4$.
Find the derivative(the slope) $y'=12x^2-4x-8$.
Set equal to 3, $12x^2-4x-8=3.$
Solve.

3. so thats how do you it thx a ton