Math, asked by amanlii780, 10 months ago

Find quadratic polynomial if sum of its zeros and product of zeroes are-5/7and5/7

Answers

Answered by sonusharma46

required polynomial.

x2- (sum of zero)x + (product of zero )

x2 + 5/7x +5/7

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Answered by gjenagjena66

Answer:

k(7x²+5x+5)

Step-by-step explanation:

let alpha and beta be the zeroes of the quadratic polynomial.

ACCORDING TO THE QUESTION

alpha+beta= -b/a

alpha × beta= c/a

where a, b and c are first, second and constant term respectively.

-5/7=-b/a

hence, b=5 , a=7

5/7=c/a

hence, c=5 , a=7

quadratic polynomial: k(7x²+5x+5)

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