2. If 1 is zero of polynomial p(x)-ax® 3a-1)x-1 then find the value of a.
(CBSE 2010-1M)
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Answer: 1
Explanation:
p(x) = ax²- 3(a-1)x -1
Given, 1 is its zero
p(x) = a(1)² -3(a-1)1 -1 = 0
a - 3a+3 -1 = 0
-2a + 2 = 0
-2a = -2
a = -2/-2
a = 1
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