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

1.	If (x-6) is a factor of x3+ax2+bx-b=0 and a-b=7,find the value of a and b
Answer» 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

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

Answer»

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

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

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