The quotient when (2x⁴ – 3x² – 3x² + 7x - 3) is divided by (x² - 2x + 1) is 2x² + x – 3
Data obtained from the question
- 2x⁴ – 3x² – 3x² + 7x - 3
- x² - 2x + 1
- Quotient =?
What is quotient
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
How to determine the quotient
To determine the quotient when (2x⁴ – 3x² – 3x² + 7x - 3) is divided by (x² - 2x + 1), we'll apply the long division method as shown below:
2x² + x – 3
x² - 2x + 1|2x⁴ – 3x² – 3x² + 7x - 3
–(2x⁴ – 2x³ + 2x²)
x³ – 5x² + 7x – 3
–(x³ – 2x² + x)
–3x² + 6x – 3
–(3x² + 6x – 3)
0
Thus, the quotient is 2x² + x – 3
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