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2026-01-01
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<li>Quotient</li>
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<li><a>Quotient of (2x^4 - 3x^3 - 3x^2 + 7x - 3) ÷ (x^2 - 2x + 1)</a></li>
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</ul><p>143 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 about the quotient of (2x^4 - 3x^3 - 3x^2 + 7x - 3) ÷ (x^2 - 2x + 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 a polynomial of a lower degree, depending on the polynomials involved. We will learn about the quotient of (2x^4 - 3x^3 - 3x^2 + 7x - 3) ÷ (x^2 - 2x + 1) below.</p>
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<h2>What is the Quotient of (2x^4 - 3x^3 - 3x^2 + 7x - 3) ÷ (x^2 - 2x + 1)?</h2>
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<h2>What is the Quotient of (2x^4 - 3x^3 - 3x^2 + 7x - 3) ÷ (x^2 - 2x + 1)?</h2>
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<p>To find the<a>quotient</a><a>of</a>(2x4 - 3x3 - 3x2 + 7x - 3) ÷ (x2 - 2x + 1), we can follow the steps given below. These steps help simplify the<a>polynomial</a><a>long division</a>process.</p>
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<p>To find the<a>quotient</a><a>of</a>(2x4 - 3x3 - 3x2 + 7x - 3) ÷ (x2 - 2x + 1), we can follow the steps given below. These steps help simplify the<a>polynomial</a><a>long division</a>process.</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>. Here, divide 2x4 by x2 to get 2x2.</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>. Here, divide 2x4 by x2 to get 2x2.</p>
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<p><strong>Step 2:</strong>Multiply the entire divisor by this quotient term (2x2) and subtract the result from the original polynomial.</p>
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<p><strong>Step 2:</strong>Multiply the entire divisor by this quotient term (2x2) and subtract the result from the original polynomial.</p>
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<p><strong>Step 3:</strong>Repeat the process with the new polynomial obtained after subtraction until the degree of the new polynomial is less than the degree of the divisor.</p>
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<p><strong>Step 3:</strong>Repeat the process with the new polynomial obtained after subtraction until the degree of the new polynomial is less than the degree of the divisor.</p>
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<p><strong>Step 4:</strong>The result is the quotient, and any leftover polynomial is the remainder.</p>
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<p><strong>Step 4:</strong>The result is the quotient, and any leftover polynomial is the remainder.</p>
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<h2>Important Glossaries for Polynomial Division</h2>
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<h2>Important Glossaries for Polynomial Division</h2>
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<ul><li><strong>Quotient:</strong>The result we obtain after dividing one polynomial by another.</li>
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<ul><li><strong>Quotient:</strong>The result we obtain after dividing one polynomial by another.</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 that is 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>Degree:</strong>The highest power of the variable in a polynomial.</li>
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</ul><ul><li><strong>Degree:</strong>The highest power of the variable in a polynomial.</li>
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</ul><ul><li><strong>Remainder:</strong>The leftover polynomial after division when the degree of the result is less than that of the divisor.</li>
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</ul><ul><li><strong>Remainder:</strong>The leftover polynomial after division when the degree of the result is less than that of the divisor.</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>