Question

find the quadratic polynomial whose Zeroes 2
and - 6. verity the relation between the coefficient
and the zeroes of the polynomial.​

Answer 1

Answer:

quadratic polynomial = x² - sum of zeroes + product of zeroes

quadratic polynomial = x²-(2-6)x + 2× -6

= x²+ 4x - 12

let a = 1, b = 4 , c = -12

verify

sum of zeroes = -b/a

2-6 = -4/1

-4 = -4

product of zeroes = c/a

2× -6 = -12/1

-12 = -12

hence, proved

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