Question

Dado o polinomio F(x)2x³-x²+x+5 . então o valor de f(-3) -f(4) é igual a :

Answer 1

$f(x) = 2x^{3}-x^{2}+x+5 \\\\ f(-3) = 2 \cdot (-3)^{3}-(-3)^{2}+(-3)+5 \\\\ f(-3) = 2 \cdot (-27)-9-3+5 \\\\ f(-3) = -54-9-3+5 \\\\ \boxed{f(-3) = -61}$


$f(x) = 2x^{3}-x^{2}+x+5 \\\\ f(4) = 2 \cdot (4)^{3}-(4)^{2}+4+5 \\\\ f(4) = 2 \cdot 64-16+4+5 \\\\ f(4) = 128-16+4+5 \\\\ \boxed{f(4) = 121} \\\\\\ \therefore f(-3)-f(4) = -61-121 = \boxed{\boxed{-182}}$