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Question
If a − b, a and b are zeros of the polynomial f(x) = 2x3 − 6x2 + 5x − 7, write the value of a.
Solution
Let a − b, a and a + b be the zeros of the polynomial f(x) = 2x3 − 6x2 + 5x − 7 then
Sum of the zeros = `(-text{Coefficient of }x^3)/(\text{Coefficient of }x^3)`
`a + a + a -cancel(d)+ cancel(d) = 6/2`
`3 a = 3`
`a = 3/3`
`a = 1`
Hence, the value of a is 1
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