divide by the long division method x cube + 8 x square - 3 x minus 24 by X + 8
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x + 8 ) x³ + 8x² - 3x - 24 ( x² - 3
x³ + 8x²
0 - 3x + 24
- 3x + 24
0
Therefore,
Quotient = x² - 3
Remainder = 0
Verification:
Dividend = Divisor × Quotient + Remainder
→ x³ + 8x² - 3x - 24 = (x + 8)(x² - 3) + 0
→ x³ + 8x² - 3x - 24 = x(x² - 3) + 8(x² - 3)
→ x³ + 8x² - 3x - 24 = x³ - 3x + 8x² - 24
→ x³ + 8x² - 3x - 24 = x³ + 8x² - 3x - 24
LHS = RHS
Hence verified
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