When x³ − 3x² + 5x − 3 is divided by x² − x + 1, the result is:

Question

Accepted Answer

quotient x − 2, remainder 2x − 1. Dividing, x³ ÷ x² = x and x(x² − x + 1) = x³ − x² + x leaves −2x² + 4x − 3. Next −2x² ÷ x² = −2 and −2(x² − x + 1) = −2x² + 2x − 2 leaves 2x − 1, whose degree is below 2, so division stops. Check: (x² − x + 1)(x − 2) + (2x − 1) = x³ − 3x² + 3x − 2 + 2x − 1 = x³ − 3x² + 5x − 3.

When $x^{3} - 3 x^{2} + 5 x - 3$ is divided by $x^{2} - x + 1$ , the result is:

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When x3−3x2+5x−3 is divided by x2−x+1, the result is:

Step-by-Step Solution

Master this topic in 30 minutes a day.

More Algebra practice

When $x^{3} - 3 x^{2} + 5 x - 3$ is divided by $x^{2} - x + 1$ , the result is: