RD Sharma - Mathematics

Book: RD Sharma - Mathematics

Chapter: 2. Polynomials

Subject: Maths - Class 10th

Q. No. 37 of CCE - Formative Assessment

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37

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) = 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.


Chapter Exercises

More Exercise Questions

8

The sum and product of the zeros of a quadratic polynomial are and — 3 respectively. What is the quadratic polynomial?