Question

Jika f(x) dibagi (x^2 - 3x + 2) sisanya (3x + 5) sedangkan jika dibagi (x + 2) sisanya -4 .
Jika f(x) dibagi (x^2 + x- 2) sisanya adalah...

Answer 1

F(x) = (x² - 3x + 2)H(x) + 3x + 5
f(x) = (x - 1)(x - 2)H(x) + 3x + 5
f(1) = 3.1 + 5 = 8..............1
f(2) = 3.2 + 5 = 11..............2

f(x) : (x + 2) sisa -4
f(-2) = -4
-2a + b = -4..............3

f(x) = (x² + x - 2)(H(x) + S(x)
f(x) = (x + 2)(x - 1)H(x) + S(x)

f(1) = 8
a + b = 8................4

eliminasi 3 dan 4 didapat nilai a = 4, b = 4
S(x) = ax + b = 4x + 4