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2026-01-01
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2026-02-28
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<ul><li><a>Math</a></li>
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<li>Quotient</li>
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<li><a>Quotient of (x^3 - 3x^2 + 5x - 3) ÷ (x - 1)</a></li>
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</ul><p>149 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 a polynomial of a lower degree, depending on the polynomials involved. We will learn how to find the quotient of (x³ - 3x² + 5x - 3) ÷ (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 constant. We will learn about the quotient of (x^3 - 3x^2 + 5x - 3) ÷ (x - 1) below.</p>
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<h2>How to Find the Quotient of (x³ - 3x² + 5x - 3) ÷ (x - 1)?</h2>
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<h2>What is the Quotient of (x^3 - 3x^2 + 5x - 3) ÷ (x - 1)?</h2>
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<p>To find the<a>quotient</a>of (x³ - 3x² + 5x - 3) ÷ (x - 1), we can use<a>polynomial</a><a>long division</a>. Follow these steps to simplify the division process:</p>
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<p>To find the<a>quotient</a>of (x3 - 3x2 + 5x - 3) ÷ (x - 1), we can follow the steps given below. These steps make the<a>polynomial division</a>process simple.</p>
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<p><strong>Step 1:</strong>Write down the<a>dividend</a>(x³ - 3x² + 5x - 3) and the<a>divisor</a>(x - 1).</p>
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<p><strong>Step 1:</strong>Set up the division with the<a>dividend</a>(x3 - 3x2 + 5x - 3) and the<a>divisor</a>(x - 1).</p>
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<p><strong>Step 2:</strong>Divide the first<a>term</a>of the dividend by the first term of the divisor: x³ ÷ x = x².</p>
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<p><strong>Step 2:</strong>Divide the first<a>term</a>of the dividend by the first term of the divisor. Here, divide x^3 by x to get x2.</p>
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<p><strong>Step 3:</strong>Multiply the entire divisor (x - 1) by x² and subtract the result from the dividend: (x³ - 3x² + 5x - 3) - (x²(x - 1)) = (x³ - 3x² + 5x - 3) - (x³ - x²) = -2x² + 5x - 3.</p>
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<p><strong>Step 3:</strong>Multiply the entire divisor (x - 1) by this result (x2) and subtract from the original dividend.</p>
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<p><strong>Step 4:</strong>Repeat the process with the new polynomial: -2x² ÷ x = -2x. Multiply and subtract: (-2x² + 5x - 3) - (-2x(x - 1)) = (-2x² + 5x - 3) - (-2x² + 2x) = 3x - 3.</p>
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<p><strong>Step 4:</strong>Repeat the process with the new polynomial obtained after<a>subtraction</a>, which is now the new dividend. Continue this until the degree of the<a>remainder</a>is less than the degree of the divisor.</p>
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<p><strong>Step 5:</strong>Repeat again: 3x ÷ x = 3. Multiply and subtract: (3x - 3) - (3(x - 1)) = (3x - 3) - (3x - 3) = 0. The division is complete, with a quotient of x² - 2x + 3.</p>
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<p><strong>Step 5:</strong>The final quotient is x2 - 2x + 3, and the remainder is 0.</p>
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<h2>Important Glossaries of Quotient of (x^3 - 3x^2 + 5x - 3) ÷ (x - 1)</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 expression consisting of variables and coefficients, involving terms with non-negative integer exponents.</li>
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</ul><ul><li><strong>Dividend:</strong>The polynomial that is 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 the dividend is divided.</li>
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</ul><ul><li><strong>Divisor:</strong>The polynomial by which the dividend is divided.</li>
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</ul><ul><li><strong>Long Division:</strong>A method used to divide polynomials by writing out the steps of the division process.</li>
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</ul><ul><li><strong>Remainder:</strong>The part of the dividend that is left over after division.</li>
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</ul><ul><li><strong>Polynomial:</strong>An expression consisting of variables and coefficients, involving terms in the form of powers of variables. ```</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>