Question

If a − b, a and b are zeros of the polynomial f(x) = 2x³ − 6x² + 5x − 7, write the value of a.

Answer 1

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