Fully factorize X^3-X^2-6x

Question

campbell_st · Answer

well factor out an x

and you get

$$x(x^2 -x - 6)$$

now factor the quadratic expression

anonymous · Answer

Thank you so much! Just got a curve equation and its awful XD

anonymous · Answer

Screw it will ask it here

anonymous · Answer

The point P with the coordinates (3,m) lies on the curve y=x^2 + kx. At P the gradient of the curve is 8. 

Find the values of the constants k and m.

campbell_st · Answer

if the point is on the curve then you knoa 

by substituting x = 3 that 

y = 3^2 + 3k

so y = 9 + 3k

or using the point 

m = 9 + 3k    (Equation 1)

now take the derivative of the curve 

y' = 2x + k

you know the slope is 8... so y'=8 when x = 3

substitute them to find k

8 = 6 + k

then so when you get k, go back and substitute it into equation 1 to find m. 

hope it helps