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2026-01-01
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2026-02-21
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<p>100 Learners</p>
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<p>106 Learners</p>
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<p>Last updated on<strong>December 28, 2025</strong></p>
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<p>Last updated on<strong>December 28, 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 itself, depending on the expressions involved. We will learn about the quotient of (15x^2 - 8x - 12) divided by (3x + 2) 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 itself, depending on the expressions involved. We will learn about the quotient of (15x^2 - 8x - 12) divided by (3x + 2) below.</p>
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<h2>What is the Quotient of (15x^2 - 8x - 12) and (3x + 2)?</h2>
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<h2>What is the Quotient of (15x^2 - 8x - 12) and (3x + 2)?</h2>
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<p>To find the quotient of (15x2 - 8x - 12) ÷ (3x + 2), we can follow the steps given below. These steps make the polynomial division process simple.</p>
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<p>To find the quotient of (15x2 - 8x - 12) ÷ (3x + 2), we can follow the steps given below. These steps make the polynomial division process simple.</p>
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<p><strong>Step 1:</strong>Set up the division as a long division problem, with (15x2 - 8x - 12) as the dividend and (3x + 2) as the divisor.</p>
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<p><strong>Step 1:</strong>Set up the division as a long division problem, with (15x2 - 8x - 12) as the dividend and (3x + 2) as the divisor.</p>
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<p><strong>Step 2:</strong>Divide the leading term of the dividend (15x2) by the leading term of the divisor (3x), which gives 5x.</p>
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<p><strong>Step 2:</strong>Divide the leading term of the dividend (15x2) by the leading term of the divisor (3x), which gives 5x.</p>
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<p><strong>Step 3:</strong>Multiply the entire divisor (3x + 2) by this result (5x) to get (15x2 + 10x).</p>
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<p><strong>Step 3:</strong>Multiply the entire divisor (3x + 2) by this result (5x) to get (15x2 + 10x).</p>
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<p><strong>Step 4:</strong>Subtract this result (15x2 + 10x) from the dividend (15x2 - 8x - 12) to get (-18x - 12).</p>
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<p><strong>Step 4:</strong>Subtract this result (15x2 + 10x) from the dividend (15x2 - 8x - 12) to get (-18x - 12).</p>
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<p><strong>Step 5:</strong>Divide the new leading term (-18x) by the leading term of the divisor (3x) to get -6.</p>
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<p><strong>Step 5:</strong>Divide the new leading term (-18x) by the leading term of the divisor (3x) to get -6.</p>
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<p><strong>Step 6:</strong>Multiply the entire divisor (3x + 2) by this result (-6) to get (-18x - 12).</p>
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<p><strong>Step 6:</strong>Multiply the entire divisor (3x + 2) by this result (-6) to get (-18x - 12).</p>
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<p><strong>Step 7:</strong>Subtract this from the previous remainder (-18x - 12) to get 0. The quotient is 5x - 6.</p>
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<p><strong>Step 7:</strong>Subtract this from the previous remainder (-18x - 12) to get 0. The quotient is 5x - 6.</p>
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<h2>Important Glossaries of Polynomial Quotient</h2>
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<h2>Important Glossaries of Polynomial Quotient</h2>
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<ul><li><strong>Quotient:</strong>The result obtained after dividing one polynomial by another polynomial.</li>
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<ul><li><strong>Quotient:</strong>The result obtained after dividing one polynomial by another polynomial.</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 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>Leading Term:</strong>The term in a polynomial with the highest degree.</li>
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</ul><ul><li><strong>Leading Term:</strong>The term in a polynomial with the highest degree.</li>
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</ul><ul><li><strong>Remainder:</strong>The leftover part of the dividend that cannot be evenly divided by the divisor.</li>
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</ul><ul><li><strong>Remainder:</strong>The leftover part of the dividend that cannot be evenly divided by 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>