WhenWhen we divide 8x⁴ - 6x³ + 2 by 2x² + 3 The result obtained is 4x² - 3x - 6 remainder 9x + 20
Quotient is the result obtained when division operation is carried out.
For example when 6 is divided by 2, the result obtained is 3. Thus, the quotient is 3
To divide 8x⁴ - 6x³ + 2 by 2x² + 3, we shall apply the long division method. This is illustrated below:
4x² - 3x - 6
2x² + 3 | 8x⁴ - 6x³ + 2
-(8x⁴ + 12x²)
-6x³ - 12x² + 2
-(-6x³ - 9x)
-12x² + 9x + 2
-(-12x² - 18)
9x + 20
Thus, the result obtained when we divide 8x⁴ - 6x³ + 2 by 2x² + 3 is 4x² - 3x - 6 remainder 9x + 20
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