RD Sharma - Mathematics

Book: RD Sharma - Mathematics

Chapter: 2. Polynomials

Subject: Maths - Class 10th

Q. No. 36 of CCE - Formative Assessment

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36

If a quadratic polynomial f (x) is factorizable into linear distinct factors, then what is the total number of real and distinct zeros of f(x)?

Given,


Quadratic polynomial f(x) is factorizable into linear distinct factors;


So,


Let f(x) = (x – a)(x – b), where a ≠ b


If a, b are the element of R,


Then f(x) must be having two real and distinct zeroes.


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?