If a quadratic polynomial f (x) is a square of a linear polynomial, then its two zeroes are coincident. (True/False)

True

Lets take,

f(x) = x^{2} – 4x + 4

= (x – 2)^{2}

= [g(x)]^{2} ………….. [g(x) = (x – 2) is a linear polynomial]

Zero of g(x) is 2,

So,

Zeroes of f(x) are 2 and 2.

So we can say that zeroes of f(x) are coincident.

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