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2026-01-01
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<li><a>Quotient of (x³ - 3x² + 3x - 2) ÷ (x² - x + 1)</a></li>
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</ul><p>135 Learners</p>
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<p>Last updated on<strong>October 4, 2025</strong></p>
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<p>Last updated on<strong>October 4, 2025</strong></p>
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<p>The result we get when we divide one polynomial by another polynomial is called the quotient. The quotient can be another polynomial or a simpler expression, depending on the polynomials involved. We will learn about the quotient of (x³ - 3x² + 3x - 2) ÷ (x² - x + 1) below.</p>
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<p>The result we get when we divide one polynomial by another polynomial is called the quotient. The quotient can be another polynomial or a simpler expression, depending on the polynomials involved. We will learn about the quotient of (x³ - 3x² + 3x - 2) ÷ (x² - x + 1) below.</p>
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<h2>What is the Quotient of (x³ - 3x² + 3x - 2) ÷ (x² - x + 1)?</h2>
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<h2>What is the Quotient of (x³ - 3x² + 3x - 2) ÷ (x² - x + 1)?</h2>
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<p>To find the<a>quotient</a><a>of</a>(x³ - 3x² + 3x - 2) ÷ (x² - x + 1), we can perform<a>polynomial</a><a>long division</a>. Here are the steps:</p>
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<p>To find the<a>quotient</a><a>of</a>(x³ - 3x² + 3x - 2) ÷ (x² - x + 1), we can perform<a>polynomial</a><a>long division</a>. Here are the steps:</p>
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<p><strong>Step 1:</strong>Divide the first<a>term</a>of the<a>dividend</a>by the first term of the<a>divisor</a>. So, divide x³ by x² to get x.</p>
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<p><strong>Step 1:</strong>Divide the first<a>term</a>of the<a>dividend</a>by the first term of the<a>divisor</a>. So, divide x³ by x² to get x.</p>
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<p><strong>Step 2:</strong>Multiply the entire divisor (x² - x + 1) by x and subtract the result from the original dividend.</p>
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<p><strong>Step 2:</strong>Multiply the entire divisor (x² - x + 1) by x and subtract the result from the original dividend.</p>
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<p><strong>Step 3:</strong>The new dividend becomes (-2x² + 3x - 2).</p>
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<p><strong>Step 3:</strong>The new dividend becomes (-2x² + 3x - 2).</p>
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<p><strong>Step 4:</strong>Repeat the division by dividing the first term of the new dividend (-2x²) by the first term of the divisor (x²) to get -2.</p>
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<p><strong>Step 4:</strong>Repeat the division by dividing the first term of the new dividend (-2x²) by the first term of the divisor (x²) to get -2.</p>
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<p><strong>Step 5:</strong>Multiply the entire divisor by -2 and subtract from the current dividend.</p>
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<p><strong>Step 5:</strong>Multiply the entire divisor by -2 and subtract from the current dividend.</p>
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<p><strong>Step 6:</strong>The remainder is 0, indicating the division is exact. The quotient is x - 2.</p>
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<p><strong>Step 6:</strong>The remainder is 0, indicating the division is exact. The quotient is x - 2.</p>
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<h2>Important Glossaries of Polynomial Division</h2>
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<h2>Important Glossaries of Polynomial Division</h2>
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<ul><li><strong>Quotient:</strong>The result obtained after dividing one polynomial by another.</li>
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<ul><li><strong>Quotient:</strong>The result obtained after dividing one polynomial by another.</li>
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</ul><ul><li><strong>Polynomial:</strong>An algebraic expression consisting of variables and coefficients.</li>
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</ul><ul><li><strong>Polynomial:</strong>An algebraic expression consisting of variables and coefficients.</li>
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</ul><ul><li><strong>Dividend:</strong>The polynomial being divided.</li>
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</ul><ul><li><strong>Dividend:</strong>The polynomial being divided.</li>
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</ul><ul><li><strong>Divisor:</strong>The polynomial by which we divide the dividend.</li>
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</ul><ul><li><strong>Divisor:</strong>The polynomial by which we divide the dividend.</li>
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</ul><ul><li><strong>Remainder:</strong>The polynomial that remains after division. If it is 0, the division is exact.</li>
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</ul><ul><li><strong>Remainder:</strong>The polynomial that remains after division. If it is 0, the division is exact.</li>
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</ul><h2>Jaskaran Singh Saluja</h2>
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</ul><h2>Jaskaran Singh Saluja</h2>
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<h3>About the Author</h3>
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<h3>About the Author</h3>
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<p>Jaskaran Singh Saluja is a math wizard with nearly three years of experience as a math teacher. His expertise is in algebra, so he can make algebra classes interesting by turning tricky equations into simple puzzles.</p>
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<p>Jaskaran Singh Saluja is a math wizard with nearly three years of experience as a math teacher. His expertise is in algebra, so he can make algebra classes interesting by turning tricky equations into simple puzzles.</p>
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<h3>Fun Fact</h3>
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<h3>Fun Fact</h3>
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<p>: He loves to play the quiz with kids through algebra to make kids love it.</p>
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<p>: He loves to play the quiz with kids through algebra to make kids love it.</p>