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 sum of the zeros of the quadratic polynomial f (x) = kx2 — 3x + 5 is 1, write the value of k.

Given,


The quadratic polynomial f(x) = kx2 – 3x + 5
Now,


Let two zeroes be a and 1 – a


Sum of zeroes = 1 and also 1 – a ˃ 0 a ˂ 1


Therefore;


Sum of the zeroes = 3/k


a + (1 – a) = 3/k


1 = 3/k


k = 3


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?