Find a quadratic polynomial whose zeroes respectively areand 1. – InterviewSolution

1.

Find a quadratic polynomial whose zeroes respectively areand 1.

Answer»

Any quadratic polynomial having zeroes p and q can be written as

(x - p) ( x - q) = x² - (p + q) x + pq = 0

So, quadratic polynomial is

x² - ( 2/3 + 1) x + 2/3 × 1 = 0

x² - 5x/3 + 2/3 = 0

Multiply by 3

3x² - 5x + 2 = 0

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