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

Question

If (a ‒ b), a and (a + b) are zeros of the polynomial 2x 3 ‒ 6x 2 + 5x – 7, write the value of a.

Philoid · Accepted Answer

It is given in the question that, zero of the polynomial 2x³ – 6x² + 5x - 7 is (a – b), a and (a + b)

Now by using the relationship between the zeros of the quadratic polynomial we have:

Sum of zeros =

a – b + a + a + b = (- (-6))/2

3a = 3

a = 1

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