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

Given:

A polynomial f(x) = 2x3 – 6x2 + 5x – 7

Explanation:

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

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Champ Quiz |Revealing the relation Between Zero and Coefficients38 mins
Relation Between zeroes and Coefficients46 mins
Interactive Quiz - Geometrical Meaning of the Zeroes32 mins
Relationship between Zeroes and Coefficients-238 mins
Quiz - Division Algorithm38 mins
Relationship between Zeroes and Coefficients-152 mins
Interactive Quiz:Polynomials43 mins
Division Algorithm-130 mins
Relation b/w The Zeroes and Coefficients of Cubic Polynomials54 mins
Revision of Relation Between the Zeroes and Coefficients of Quadratic Polynomial46 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses