RD Sharma - Mathematics

Book: RD Sharma - Mathematics

Chapter: 2. Polynomials

Subject: Maths - Class 10th

Q. No. 16 of CCE - Formative Assessment

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If one root of the polynomial f (x) = 5x2 + 13x + k is reciprocal of the other, then the value of k is


f(x) = 5x2 + 13x + k

Let suppose roots are R and 1/R

Product of the roots = C/R = R×1/R

R×1/R = k/5

1 = k/5


Here k = 5

Chapter Exercises

More Exercise Questions


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