Question

If (x+4) is a factor of the polynomial x^3-x^2-14+24 ,find its other factors

Answer 1

Step-by-step explanation:

one root is -4

assume other roots x,y

-4 + x+y = 1

x+y = 5

-4xy = -24

xy = 6

x= 6/y

y+ 6/y = 5

y2 -5y +6= 0

y2 -2y -3y +6 = 0

y( y-2) -3(y-2)=0

(y-3)(y-2)=0

y= 3,2

x= 6/3, 6/2

= 2, 3

other factors are ( x-2)( x-3)