Example 3
Find the zeroes of the polynomial x2 3 and verify the relationship between the zeroes and the coefficients.
Let p(x) = x2 3
Zero of the polynomial is the value of x where p(x) = 0
Putting p(x) = 0
x2 3 = 0
(x)2 ( 3)2 = 0
Using a2 b2 = (a b)(a + b)
(x 3)(x + 3) = 0
So x = 3 , 3
Therefore,
= 3 & = - 3 are zeroes of the polynomial
We can write
p(x) = x2 3
= x2 + 0 3
= 1x2 + 0(x) 3
It is of the form ax2 + bx + c
So, a = 1,
We have to verify
Sum of zeroes = ( )/( 2)
i.e. + = - /

Made by

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.