Polinomial
P(x) = (2x² + 2x - 1) . H(x) + S(x)
4x⁶ + 6x⁵ + 6x⁴ - 3ax³ - 5ax² + 8x + 4 = (2x² + 2x - 1)(2x⁴ + x³ + 3x² - 4x + 3) + (bx + c)
kesamaan ruas kiri dan ruas kanan
2x² × 2x⁴ = 4x⁶ ✔
6x⁵ = (2x⁴ × 2x) + (x³ × 2x²)
6x⁵ = 6x⁵ ✔
6x⁴ = 2x⁴(-1) + x³(2x) + 3x²(2x²)
6x⁴ = 6x⁴ ✔
-3ax³ = x³(-1) + 3x²(2x) - 4x(2x²)
-3a = -1 + 6 - 8
-3a = -3
a = 1
-5ax² = 3x²(-1) - 4x(2x) + 3(2x²)
-5x² = -5x² ✔
8x + 4 = -4x(-1) + 3(2x) + 3(-1) + sisa
8x + 4 = 10x - 3 + (bx + c)
sisa = 8x + 4 - (10x - 3)
bx + c = -2x + 7
b = -2
c = 7
c - b = 7 - (-2) = 9
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Polinomial
P(x) = (2x² + 2x - 1) . H(x) + S(x)
4x⁶ + 6x⁵ + 6x⁴ - 3ax³ - 5ax² + 8x + 4 = (2x² + 2x - 1)(2x⁴ + x³ + 3x² - 4x + 3) + (bx + c)
kesamaan ruas kiri dan ruas kanan
2x² × 2x⁴ = 4x⁶ ✔
6x⁵ = (2x⁴ × 2x) + (x³ × 2x²)
6x⁵ = 6x⁵ ✔
6x⁴ = 2x⁴(-1) + x³(2x) + 3x²(2x²)
6x⁴ = 6x⁴ ✔
-3ax³ = x³(-1) + 3x²(2x) - 4x(2x²)
-3a = -1 + 6 - 8
-3a = -3
a = 1
-5ax² = 3x²(-1) - 4x(2x) + 3(2x²)
-5x² = -5x² ✔
8x + 4 = -4x(-1) + 3(2x) + 3(-1) + sisa
8x + 4 = 10x - 3 + (bx + c)
sisa = 8x + 4 - (10x - 3)
bx + c = -2x + 7
b = -2
c = 7
c - b = 7 - (-2) = 9
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