Find the value of a and b so that x +1 and x-1 are factor of x^4+ax^3+2x^2-3x+b
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Answer:
a = 3, b = -3
Step-by-step explanation:
suppose x^4+ax^3+2x^2-3x+b = (x-1)(x+1)f(x)
putting x=1
1+a+2-3+b=0
a+b = 0 (1)
putting x= -1
1-a+2+3+b=0
-a+b= - 6 (2)
subtracting equation (2) from equation (1)
2a= 6
a = 3
adding equations (1) and (2)
2b = - 6
b = -3
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