Question

Find the quadratic polynomial, the sum of whose zeros is 5/2 and their product is 1

Answer 1

Answer:

Given:-

alpha+beta=5/2

alphabeta=1

p(x)= x^2-(alpha+beta)x+alphabeta

p(x)=2x^2-5x+2

p(x)=0

2x^2-5x+2=0

2x^2-4x-x+2=0

2x(x-2)-1(x-2)=0

(2x-1)(x-2)=0

2x-1=0 ; x-2=0

then:- x=1/2 & x=2 are the zeroes of polynomial

Hope you my answer is helpful to

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Answer 2

let the polynomial ax2+bx+c=0

sum of zeros =-b/a

=-5/2

product =c/a

= 1 then

a=2 and c= 2and b=-5

but i don't know answer is wrong or right