Llista Graella
Solucions individuals Solucions agrupades

Valor numèric

a)
Donat el polinomi $P(x) = 2x^2 + 3x - 5$, calcula $P(3)$.
b)
Donat el polinomi $P(x) = x^3 - 4x + 2$, calcula $P(-2)$.
c)
Donat el polinomi $P(x) = -x^2 + 6x - 1$, calcula $P(0)$.
d)
Donat el polinomi $P(x) = 5x^3 - 2x^2 + 7$, calcula $P(1)$.
e)
Donat el polinomi $P(x) = 4x^2 - 9x + 10$, calcula $P(-1)$.
f)
Donat el polinomi $P(x) = \tfrac{1}{2}x^2 - 3x + 4$, calcula $P(4)$.
g)
Donat el polinomi $P(x) = x^4 - 2x^3 + x - 8$, calcula $P(2)$.
h)
Donat el polinomi $P(x) = -3x^3 + x^2 + 2x - 5$, calcula $P(-3)$.
i)
Donat el polinomi $P(x) = (x - 1)(x + 2)(x - 3)$, calcula $P(0)$.
j)
Donat el polinomi $P(x) = 7x^2 - 4x + \tfrac{5}{2}$, calcula $P(-2)$.

Solucions dels apartats

a) $P(3) = 2\cdot3^2 + 3\cdot3 - 5 = 2\cdot9 + 3\cdot3 - 5 = 18 + 9 - 5 = \boxed{22}$

b) $P(-2) = (-2)^3 - 4\cdot(-2) + 2 = -8 - (-8) + 2 = -8 + 8 + 2 = \boxed{2}$

c) $P(0) = -(0)^2 + 6\cdot0 - 1 = -0 + 0 - 1 = \boxed{-1}$

d) $P(1) = 5\cdot1^3 - 2\cdot1^2 + 7 = 5\cdot1 - 2\cdot1 + 7 = 5 - 2 + 7 = \boxed{10}$

e) $P(-1) = 4(-1)^2 - 9(-1) + 10 = 4\cdot1 - 9\cdot(-1) + 10 = 4 + 9 + 10 = \boxed{23}$

f) $P(4) = \tfrac{1}{2}\cdot4^2 - 3\cdot4 + 4 = \tfrac{1}{2}\cdot16 - 12 + 4 = 8 - 12 + 4 = \boxed{0}$

g) $P(2) = 2^4 - 2\cdot2^3 + 2 - 8 = 16 - 2\cdot8 + 2 - 8 = 16 - 16 + 2 - 8 = \boxed{-6}$

h) $P(-3) = -3\cdot(-3)^3 + (-3)^2 + 2\cdot(-3) - 5 = -3\cdot(-27) + 9 - 6 - 5 = 81 + 9 - 6 - 5 = \boxed{79}$

i) $P(0) = (-1)(2)(-3) = \boxed{6}$

j) $P(-2) = 7\cdot(-2)^2 - 4\cdot(-2) + \tfrac{5}{2} = 7\cdot4 + 8 + \tfrac{5}{2} = 28 + 8 + \tfrac{5}{2} = 36 + \tfrac{5}{2} = \boxed{\tfrac{77}{2}}$