Verify $t = 1$ is a zero of the polynomial $2 t^{3} - 3 t^{2} + 7 t - 6$

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Solution

If $t = 1$ is the zero of the polynomial, then $p (t) = 0$ . To verify this, find value of $p (t)$
$p (t) = 2 t^{3} - 3 t^{2} + 7 t - 6$
$p (1) = 2 (1)^{3} - 3 (1)^{2} + 7 (1) - 6$
$= 2 - 3 + 7 - 6 = 0$
$∴ t = 1$ is a zero of the given polynomial.

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