Find the zero of the quadratic polynomial x²-7x+10 to and verify
the relationship between the zeroes and the coefficient​

1 thought on “Find the zero of the quadratic polynomial x²-7x+10 to and verify<br />the relationship between the zeroes and the coefficient​”

1. Answer:

   x²-7x +10 = 0

   => x²- 2x -5x +10 = 0

   => x(x-2) – 5(x-2) = 0

   => (x-2)(x-5) = 0

   => x = 2 or x = 5

   Thus, zeroes of the given quadratic equation are 2 and 5.

   sum of zeroes = 2+5=7

   relation: sum of zeroes = -(coefficient of x)/coefficient of x²

   = -(-7)/1 = +7/1 = 7

   product of zeroes = 2×5

   relation: product of zeroes = constant/coefficient of x²

   = 10/1 = 10

   Hence, both the relations verified.

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