For polynomial $P (x) = 6 x^{3} + 29 x^{2} + 44 x + 21$ find $P (- 2) .$

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Solution

Given: $P (x) = 6 x^{3} + 29 x^{2} + 44 x + 21$
Let $x = - 2$ in $P (x)$
Then, $P (- 2) = 6 (- 2)^{3} + 29 (- 2)^{2} + 44 (- 2) + 21 = 6 (- 8) + 29 (4) + 44 (- 2) + 21 = 1$
Hence, $P (- 2) = 1$ .

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