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

Question

Philoid · Accepted Answer

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