Find the sum and product of the zeroes of the polynomial x ²â€“25.

Let P(x) = x ² - 25
If a x ² + bo x + c is the polynomial, then

Sum of the zeroes of the polynomial = -( b/a )
The product of the zeroes of the polynomial = ( c/a )

Here, a = 1, b = 0, c = -25

∴ Sum of zeroes of the given polynomial = -(0/1) = 0

Product of zeroes of the given polynomial = (-25/1) = - 25.