If 1 is a zero of the quadratic polynomial ax2 – 3(a – 1)x – 1 i – InterviewSolution

InterviewSolution

1.

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

Answer»

Given: x = 1 is one zero of the polynomial ax²– 3(a – 1) x – 1

Therefore, it will satisfy the above polynomial.

Now, we have

a(1)² – (a – 1)1 – 1 = 0

⇒ a – 3a + 3 – 1 = 0

⇒ –2a = – 2

⇒ a = 1

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