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If a – b, a and a + b are zeros of the polynomial f (x) = 2x3 – 6x2 + 5x – 7, write the value of a.
Given;
A polynomial f(x) = 2x3 – 6x2 + 5x – 7
And zeroes are a – b, a and a + b,
Let’s take a = α
b = β
c = y
As we know that,
α + β + y = – b/a
(a – b) + a + (a + b) = – ( – 6)/2
3a = 3
a = 1
So, the value of a = 1