Question

Dados o polinômio: P(x) = 2x4 + x3 – 5x2 - 6x + 8, determine:
a) P(O) =
b) P(1) =
c) P(-1) =
d) P(2) =​

Answer 1

Explicação passo-a-passo:

p(x) = 2x⁴ +x³ -5x² -6x +8

a)

p(0)= 2.0⁴ +0³ -5.0² -6.0 +8

p(0)= 0+0-0-0+8

p(0)= +8

b)

p(1)= 2.1⁴ +1³ -5.1² -6.1+8

p(1)= 2.1+1-5.1-6+8

p(1)= 2+1-5-6+8

p(1)= 3-5-6+8

p(1)= -2-6+8

p(1)= -8+8

p(1)= 0

c)

p(-1)= 2.(-1)⁴ +(-1)³ -5.(-1)² -6.(-1) +8

p(-1)= 2. 1 +(-1) - 5 . 1 +6 +8

p(-1)= 2 - 1 - 5 +6 +8

p(-1)= 1 -5+6+8

p(-1)= -4+6+8

p(-1)= +2+8

p(-1)= 10

d)

p(2)= 2.2⁴ + 2³-5.2² -6.2 +8

p(2)= 2.16 + 8 - 5.4 - 12 +8

p(2)= 32 +8 -20 -12 +8

p(2)= 40-20-12+8

p(2)= 20-12+8

p(2)= 8 +8

p(2)= 16