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What is the quotient and remainder when 12x4 -7x2 plus 1 is divided by 2x plus 1?
Wiki User
∙ 7y ago
Fill in the missing powers of x in the dividend by having a coefficient of zero (0); then use long division:
_________________ 6x³ - 3x² - 2x + 1
________---------------------------------
2x + 1 | 12x⁴ + 0x³ - 7x² + 0x + 1
_________ 12x⁴ + 6x³
_________ -------------
_______________ - 6x³ - 7x²
_______________ - 6x³ - 3x²
_______________ -------------
____________________ - 4x² + 0x
____________________ - 4x² - 2x
____________________ ------------
____________________________ 2x + 1
____________________________ 2x + 1
____________________________ --------
__________________________________0
____________________________ =====
→ (12x⁴ - 7x² + 1) ÷ (2x + 1) = 6x³ - 3x² - 2x + 1 with no remainder.
Wiki User
∙ 7y ago
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