Question

complete the table.
$f(p) = p^2 + 2p - 6$

$p$	$f(p)$
-19
-17
-15

submit

Explanation:

Step1: Calcular f(-21)

Sustituir \( p = -21 \) en \( f(p) = p^2 + 2p - 6 \):
\( f(-21) = (-21)^2 + 2(-21) - 6 = 441 - 42 - 6 = 393 \)

Step2: Calcular f(-19)

Sustituir \( p = -19 \) en \( f(p) = p^2 + 2p - 6 \):
\( f(-19) = (-19)^2 + 2(-19) - 6 = 361 - 38 - 6 = 317 \)

Step3: Calcular f(-17)

Sustituir \( p = -17 \) en \( f(p) = p^2 + 2p - 6 \):
\( f(-17) = (-17)^2 + 2(-17) - 6 = 289 - 34 - 6 = 249 \)

Step4: Calcular f(-15)

Sustituir \( p = -15 \) en \( f(p) = p^2 + 2p - 6 \):
\( f(-15) = (-15)^2 + 2(-15) - 6 = 225 - 30 - 6 = 189 \)

Answer:

Para \( p = -21 \), \( f(p) = 393 \);
Para \( p = -19 \), \( f(p) = 317 \);
Para \( p = -17 \), \( f(p) = 249 \);
Para \( p = -15 \), \( f(p) = 189 \).

(La tabla completada tendría:
\( p = -21 \), \( f(p) = 393 \);
\( p = -19 \), \( f(p) = 317 \);
\( p = -17 \), \( f(p) = 249 \);
\( p = -15 \), \( f(p) = 189 \))