# Check whether 3 and -2 are the zeroes of the polynomial when p(x) = x2 – x - 6

A zero or root of a polynomial function is a number that, when plugged in for the variable, makes the function equal to zero.

Now,

P(x) = x2 – x – 6

Therefore,

P(-2) = (-2)2 – (-2) – 6

P(-2) = 4 + 2 – 6

P(-2) = 0

P(3) = 32 – 3 – 6

P(3) = 9 – 3 – 6

- P(3) = 0

Hence, Yes, 3 and -2 are zeroes of the polynomial x2 – x – 6.

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