Question

find aquadratic polynomial,the sum and product of whose zeroes are 4 and 1 respectively ​

Answer 1

quadratic polynomial= x^2-(sum of zero)x + product of zero

quadratic polynomial= x^2-4x+1

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Answer 2

Answer:

sum of zeroes is 4

product of zeroes is 1

quadratic equation in the form of ax^2+bx+c= 0..(1)

sum of zeroes= -b/a

4= -b /a

a= 1 and b = -4

product of zeroes= c /a

1= c /a

a= 1 and c = 1

putting this value in eq (1), we get

x^2- 4x+ 1

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