Q. 54.2( 26 Votes )

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

Answer :

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) = x^{2} – x – 6

Therefore,

P(-2) = (-2)^{2} – (-2) – 6

⇒ P(-2) = 4 + 2 – 6

⇒ P(-2) = 0

P(3) = 3^{2} – 3 – 6

⇒ P(3) = 9 – 3 – 6

-⇒ P(3) = 0

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

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