Question

if (x-6) is a factor of x3+ax2+bx-b=0 and a-b=7,find the value of a and b​

Answer 1

Answer:

a = -181/41

Step-by-step explanation:

as x-6 is a factor of x3+ax2+bx-b=0 ,substitute x=6 in x3+ax2+bx-b=0

===>6³+a×6²+b×6-b=0

===>216+36a+5b = 0                 ----1

as a-b =7 ==> 5a-5b = 35         -----2

so eq 1 + eq 2

gives 216 +41a = 35

so a = -181/41

Answer 2

plz refer to this attachment