find the value of a if x-a is factor of x²-ax²+a-1
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Answer:
a = 1/3
a = 0.3bar
Step-by-step explanation:
By using factor theorem in (x-a), we get,
x = a
p(x) = x^3 - ax^2 + 2x + a - 1 {given}
Now, putting the value of x = a, we get
a^3 - a(a)^2 + 2a + a = 1
a^3 - a^3 + 3a = 1
3a = 1
a = 1 ÷ 3
a = 0.3bar
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