Find the zeroes of the polynomial x2 + 2x – 195. – InterviewSolution

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1.

Find the zeroes of the polynomial x2 + 2x – 195.

Answer»

Here, p(x) = x² + 2x – 195

Let p(x) = 0

⇒ x² + (15 – 13)x – 195 = 0

⇒ x² + 15x – 13x – 195 = 0

⇒ x (x + 15) – 13(x + 15) = 0

⇒ (x + 15) (x – 13) = 0

⇒ x = –15, 13

Hence,

the zeroes are –15 and 13.

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