RD Sharma - Mathematics

Book: RD Sharma - Mathematics

Chapter: 2. Polynomials

Subject: Maths - Class 10th

Q. No. 11 of CCE - Formative Assessment

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11

If the product of zeros of the polynomial f(x) = ax3 –6x2 + 11x – 6 is 4, then a =

Given;


Polynomial = ax3 –6x2 + 11x – 6


Let a,b,c be the zeroes of f(x) = ax3 –6x2 + 11x – 6


Product of the zeroes = – (constant term)/coefficient of x3


4 = – ( – 6)/a


4 = 6/a


4a = 6


a = 6/4


a = 3/2

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?