Question

Find the quadratic polynomial whose zeros are 1 and -3verify the relation between the co efficient and the zeroes of the polynomial

Answer 1

Step-by-step explanation:

let alpha=1 and beta=-3

alpha+beta= 1+(-3)=-2= -b/a

alpha×beta= 1×(-3)=-3= c/a

therefore, a=1 b=2 and c=-3

quadratic polynomial= x^2+2x-3

zeroes of the polynomial= 1 and -3

-2=-b/a=coefficient of x/coefficient of x^2

-3=c/a= constant term/coefficient of x^2

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