Find the zeroes of the quadratic polynomial x2 – 5x + 6, and verify the relationship between the zeroes and the coefficients.
We have x2 – 5x + 6 – x2 – 3x – 2x + 6
= (x – 3) (x – 2)
So, the value of x2 – 5x + 6 is zero when x - 3 = 0 or x – 2 = 0
i.e., when x = 3 or x = 2
Therefore, the zeroes of x2 – 5x + 6 are 3 and 2.
Sum of zeroes =
=
Product of zeroes
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