Question

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

Answer 1

By using the relationship between the zeroes of the quadratic polynomial.

We have  

Sum of zeroes = `(-("Coefficient of"  x^2))/("Coefficient of"  x^3)` 

`a - b + a + a + b = (-(-6))/2` 

⇒ 3a = 3

⇒ a = 1