If (x – 1) is a factor of x4 - 3x3 + bx2 + 8x – 4, then find the value of b.
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Answer:
x-1=0
x=1
if x is a factor of this equation
so we can
x^4 -3x^3 +bx^2 +8x -4
put x = 1
(1)^4 -3(1)^3 +b(1)^2 +8(1) -4
1 -3+b +8 -4
b=2
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