Question

Siapa yang pintar mtk perminatan kelas 11 kesamaan polinomial jwab donk donk latihan 3.4

Answer 1

3x³-2x²+x-4 = A(x-1) + B (x-1)(x+1)+C x(x²-1) + D

Ruas kanan
A(x-1) + B (x²-1) + C (x³-x) + D
Ax - A + Bx² - B + Cx³ - Cx + D
Cx³ + Bx² + Ax - Cx - A - B + D

maka
Cx³ + Bx² + (A-C)x +(-A-B+D) = 3x³ -2x² + x - 4

C = 3

B = -2

A-C = 1
A - 3 = 1
A= 1+3
A = 4

-A-B+D = -4
-4 - (-2) + D = -4
-2 + D = -4
D = -2