Question

2x square - 6x
find the zeroes of the following polynomial and verify the relationship between zeroes and coefficient

​

Answer 1

Solution :

The given polynomial is

f(x) = 2x² - 6x

= 2x (x - 3)

Then the zeroes of f(x) are 0 & 3

If α and β are the zeroes of f(x), by the relation between zeroes and coefficients, we get

• α + β = - (- 6)/2 = 3
• αβ = 0/2 = 0

Sum of zeroes = 0 + 3 = 3

Product of zeroes = 0 * 3 = 0

Hence, verified.

To remember :

When we will get (x - a) as a factor of any polynomial, it is obvious that a will be a zero of that polynomial.