Question

2. Find a quadratic polynomial each with the given numbers as the sum and product of its
zeroes respectively.
(1) 1/4, -1

(iv) 1,1





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Answer 1

Let the equation be ax²+bx+c.

Let the zeros be x and y.

We know that,

x+y = -b/a

xy = c/a

Solve the equations using the above mentioned equations, find value of x and y and further you'll get the values of a,b and c.