Question

4. Determine o valor de a sabendo que 2 é raiz de P(x) = 2x 3 – ax + 4.

Answer 1

$P(x) = 2x 3 – ax + 4$

$P'(x) = \frac{d}{dx} (2$ ·$3 - ax + 4)$

$P' (X) = \frac{d}{dx} ( 6 - ax + 4)$

$P' (X) = \frac{D}{DX} (10 - ax)$

$P' (x) = \frac{d}{dx} (10) + \frac{d}{dx} ( a - x)$

$P' (x) = 0 = a$