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

Question

Philoid · Accepted Answer

True

Lets take,

f(x) = x² – 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.