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Factorisation by Common Factors

For polynomia...

Question

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

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Solution

Given : $P (x) = 6 x^{3} + 29 x^{2} + 44 x + 21$
Now, $P (- 2) = 6 (- 2)^{3} + 29 (- 2)^{2} + 44 (- 2) + 21$
$= 6 (- 8) + 29 (4) - 88 + 21$
$= - 48 + 116 - 88 + 21$
$= 1$

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