If (a - b) , a and (a + b) are zeros of the polynomial 2x3 - 6x2 + 5x – InterviewSolution

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1.

If (a - b) , a and (a + b) are zeros of the polynomial 2x3 - 6x2 + 5x - 7 write the value of a

Answer»

By using the relationship between the zeroes of the quadratic polynomial.

We have

Sum of zeroes = \(\frac{-(coefficient\,of\,x^2)}{coefficient\,of\,x^3}\)

⇒ a – b + a + a + b = \(\frac{-(-6)}2\)

⇒ 3a = 3

⇒ a = 1

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