if 1 is a zero of the polynomial p(a)=x^2a^2-3ax+3x-1 the value of x will be
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Answer:
f(x) = a^2 x^2 - 3ax - 3x - 1
According to question
f(1) = 0
=> a^2 (1)^2 - 3a(1) + 3(1) - 1 = 0
=> a^2 - 3a + 3-1 = 0
=> a^2 - 3a + 2 = 0
=> a^2 - a - 2a + 2 = 0
=> a (a - 1) - 2(a - 1) = 0
=> (a - 1)(a - 2) = 0
a = 1 and 2
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