Question

find the zeroes of the quadratic polynomial x2-5x +6 =0 and verify the relashionship between zeroes and co efficient ​

Answer 1

Step-by-step explanation:

By middle - term distribution

x^2 - 5x + 6 = 0

or, x^2 - 2x - 3x + 6 =0

or, x (x - 2) - 3 (x - 2) = 0

or, (x - 2) (x - 3) = 0

or, x - 2 = 0 / x - 3 = 0

or, x = 2 / x = 3

zeroes = 2, 3

sum of zeroes = 2+ 3= 5

coefficient of x /coefficient of x^2= 5

product of zeros = 2× 3= 6