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Zeros of a Polynomial

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Question

Check whether -2 and 2 are zeros of the polynomial
$t^{2} - t - 6$ .

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Solution

The given polynomial is 𝒕2−𝒕−𝟔.
Substituting t = -2 in the equation we get,

Again substituting t = 2 in the equation we get,

p(2) = -4.

Therefore (-2) is a zero of the polynomial $t^{2} - t - 6$ but (2) is not a zero of the polynomial $t^{2} - t - 6$ as p(-2) ≠0.

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