Question

cineva care ma poate ajuta ? va rog! am nevoie urgent..

Answer 1

Răspuns

Explicație pas cu pas:

g = a + b(x + 2) + c(x + 2)^2 + d(x + 2)^3 = a + bx + 2b + c (x^2 + 4x + 4) + d(x + 2)(x^2 + 4x + 4)  =

a + bx + 2b + cx^2 + 4xc + 4c + d (x^3 + 4x^2 + 4x + 2x^2 + 8x + 8) =

a + bx + 2b + cx^2 + 4xc + 4c + dx^3 + 6dx^2 + 12dx + 8 =

dx^3 + x^2(c + 6d) + x (b + 4c + 12d) + (a + 2b + 4c + 8)

f = x^3 - 5x^2 + 4x + 2

f = g

dx^3 =  x^3 deci d = 1

(c + 6d) = -5; c + 6 = -5 deci c = -11

(b + 4c + 12d) = 4; b - 44 + 12 = 4; b = 4 + 44 - 12 = 36

(a + 2b + 4c + 8) = 2; a + 72 - 44 + 8 = 2; a = 2 - 72 + 44 - 8 = -34