Question

if sum and product of zeros of quadratic polynomial are 3/4 and -1/2 write quadratic polynomial

Answer 1

sum=3/4,
product=-1/2

therfore, x^2- 3/4x -1/2
.(4x^2- 3x -4)/4=0


0 = 4x^2- 3x -2.
this is the answer

Answer 2

Given,
Sum Of zeroes (S) = 3/4
Product of zeroes (P) = -1/2

f(x) = x^2 - (S)x + (P)
= x^2 - (3/4)x + (-1/2)
= x^2 -3/4x -1/2

In order to cancel the denominator multiply the equation with 4.

= 4x^2 -3x -2

Therefore equation = 4x^2 -3x-2

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