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Write the family of quadratic polynomials having and 1 as its zeros.
Given,
– 1/4 and 1 are the zeros
So,
k[(x + 1/4)(x – 1)]
k[x2 – 1x + 1/4x – 1/4]
f(x) = k[x2 – 3/4 x – 1/4]
Where k is any non-zero real number.