Question

if x - 4 is the HCF of x square - 8 x + 15 and x square minus kx + 1 then what is the value of k​

Answer 1

Answer:

Step-by-step explanation:

If the H.C.F is (x-3), then there exist some other factor x-a that will give us x2-kx-1.

 

Therefore (x-3)(x-a)=x2-kx-1, x2-3x-ax+3a=x2-kx-1, x2-(a+3)x+3a=x2-kx-1.  

This means a+3=k, and 3a=-1, so a=-1/3, then k=8/3.  

HOPE THIS HELPS