RD Sharma - Mathematics

Book: RD Sharma - Mathematics

Chapter: 2. Polynomials

Subject: Maths - Class 10th

Q. No. 30 of CCE - Formative Assessment

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30

If 1 is a zero of the polynomial p(x) = ax2 – 3(a – 1) x – 1, then find the value of a.

Given,


p(x) = ax2 – 3(a – 1) x – 1


Zero is 1


Now,


p(1) = a(1)2 – 3(a – 1) ×1 – 1 = 0


p(1) = a – 3a + 3 – 1 = 0


p(1) = – 2a + 2 = 0


= – 2a = – 2


= a = – 2/ – 2 = 1


So the value of a = 1

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?