asked 6.4k views
2 votes
What is the quotient (2x4 – 3x3 – 3x2 + 7x – 3) ÷ (x2 – 2x + 1)

asked
User Erick T
by
8.2k points

2 Answers

7 votes
The final answer to your question would be 2x^2+x-3.
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answered
User Michele
by
7.0k points
5 votes

Answer: The quotient is,


2x^2+x-3

Explanation:

Here, the given expression,


(2x^4 - 3x^3 - 3x^2 + 7x - 3)/ (x^2 - 2x + 1)

By the long division( shown below ) we found that,


2x^4 - 3x^3 - 3x^2 + 7x - 3=(x^2-2x+1)(2x^2+x-3)+0

Since, Dividend = Divisor × Quotient + Remainder,

Hence, the quotient =
2x^2+x-3

What is the quotient (2x4 – 3x3 – 3x2 + 7x – 3) ÷ (x2 – 2x + 1)-example-1
answered
User Jim Wolff
by
8.5k points
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