Question

Calcule o Valor Numerico do Polinomio P(x)= X³ + 2x² + x + 1 Para:
A) x=1

B)x=2

C) x= 3

D) x= -1

E) x= -2

Answer 1

A) x=1

P(x)= X³ + 2x² + x + 1
P(x)= 1³ + 2.1² + 1 + 1
P(x)= 1 + 2.1 + 2
P(x)= 1 + 2 +2
P(x)= 5

B)x=2

P(x)= X³ + 2x² + x + 1
P(x)= 2³ + 2.2² + 2 + 1
P(x)= 8 + 2.4 + 3
P(x)= 8 + 8 + 3
P(x)= 19

C) x= 3

P(x)= X³ + 2x² + x + 1
P(x)= 3³ + 2.3² + 3 + 1
P(x)= 27 + 2.9 + 4
P(x)= 27 + 18 + 4
P(x)= 49

D) x= -1

P(x)= X³ + 2x² + x + 1
P(x)= (-1)³ + 2. (-1)² + (-1) + 1
P(x)= -1 +2.1 -1 + 1
P(x)= -1 +2
P(x)= 1

E) x= -2

P(x)= X³ + 2x² + x + 1
P(x)= (-2)³ + 2. (-2)² + (-2) + 1
P(x)= -8 + 2. 4 -2 + 1
P(x)= -8+ 8 -1
P(x)= -1

Answer 2

P(x) = x³ + 2x² + x + 1

Para:

A) x = 1
p(x) = x³ + 2x² + x + 1
p(1) = 1³ + 2.(1)² + 1 + 1
p(1) = 1 + 2.1 + 2
p(1) = 1 + 2 + 2
p(1) = 5

********************
B) x = 2
p(2) = 2³ + 2.2² + 2 + 1
p(2) = 8 + 2.4 + 3
p(2) = 8 + 8 + 3
p(2) = 16 + 3
p(2) = 19
***********************
C) x= 3
p(x) = x³ + 2x² + x + 1
p(3) = 3³ + 2.3² + 3 + 1
p(3) = 27 + 2.9 + 4
p(3) = 27 + 18 + 4
p(3) = 27 + 22
p(3) = 49
*******************
D) x = -1
p(x) = x³ + 2x² + x + 1
p(-1) = (-1)³ + 2.(-1)² + (-1) + 1
p(-1) = - 1 + 2.1 - 1 + 1
p(-1) = - 1 + 2 + 0
p(-1) = 1

**********************
E) x = - 2
p(-2) = (-2)³ + 2.(-2)² + (-2) + 1
p(-2) = - 8 + 2.4 - 2 + 1
p(-2) = - 8 + 8 - 1
p(-2) = - 1