if x³+2x²+ax+b has factors X+1 and x-1 find and b
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Answer:
x+1=0. x-1=0
x = -1. x =1
(-1)³+2(-1)²+a(-1)+b=(1)³+2(1)²+a(1)+b
-1-a=1+a. (b & 2 is subtracted in both side)
-1-1=a+a
2a = -2
a= -1
x³+2x²+ax+b=(1)³+2(1)²+-1(1)+b=0
=> 2+b=0
=> b= -2
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