Question

What is the quotient (x3 – 3x2 + 5x – 3) ÷ (x – 1)?

What is the quotient (x3 + 3x2 + 5x + 3) ÷ (x + 1)?

Answer 1

x^2 -2x +3

Explanation:

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Answer 2

1. x^2 -2x +3
2. x^2 +2x +3

Explanation:

The quotient in each case can be found by any of several means, including synthetic division (possibly the easiest), polynomial long division, or graphing.

1. The graph shows you the quotient is (x-1)^2 +2 = x^2 -2x +3.

2. The graph shows you the quotient is (x+1)^2 +2 = x^2 +2x +3.