Write the zeros of the polynomial f(x) = x2 – x – 6. – InterviewSolution

1.

Write the zeros of the polynomial f(x) = x2 – x – 6.

Answer»

f(x) = x² – x – 6

= x² – 3x + 2x – 6

= x(x – 3) + 2(x – 3)

= (x – 3) (x + 2)

f(x) = 0

⇒ (x – 3) (x + 2) = 0

⇒ (x – 3) = 0 or (x + 2) = 0

⇒ x = 3 or x = –2

So,

the zeroes of f(x) are 3 and –2.

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