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2026-01-01
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<p>117 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 is called the quotient. In polynomial division, the quotient is typically another polynomial, often with a lower degree than the dividend. We will learn about the quotient of x² + 7x + 12 divided by x + 4 below.</p>
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<p>The result we get when we divide one polynomial by another is called the quotient. In polynomial division, the quotient is typically another polynomial, often with a lower degree than the dividend. We will learn about the quotient of x² + 7x + 12 divided by x + 4 below.</p>
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<h2>What is the Quotient of x² + 7x + 12 and x + 4?</h2>
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<h2>What is the Quotient of x² + 7x + 12 and x + 4?</h2>
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<p>To find the<a>quotient</a><a>of</a>(x² + 7x + 12) ÷ (x + 4), 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><a>of</a>(x² + 7x + 12) ÷ (x + 4), we can use<a>polynomial</a><a>long division</a>. Follow these steps to simplify the division process.</p>
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<p><strong>Step 1:</strong>Divide the first<a>term</a>of the<a>dividend</a>(x²) by the first term of the<a>divisor</a>(x), which gives us x.</p>
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<p><strong>Step 1:</strong>Divide the first<a>term</a>of the<a>dividend</a>(x²) by the first term of the<a>divisor</a>(x), which gives us x.</p>
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<p><strong>Step 2:</strong>Multiply the entire divisor (x + 4) by this result (x), which gives us x² + 4x.</p>
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<p><strong>Step 2:</strong>Multiply the entire divisor (x + 4) by this result (x), which gives us x² + 4x.</p>
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<p><strong>Step 3:</strong>Subtract x² + 4x from the original dividend x² + 7x + 12, resulting in 3x + 12.</p>
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<p><strong>Step 3:</strong>Subtract x² + 4x from the original dividend x² + 7x + 12, resulting in 3x + 12.</p>
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<p><strong>Step 4:</strong>Divide the first term of the result (3x) by the first term of the divisor (x), which gives us 3.</p>
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<p><strong>Step 4:</strong>Divide the first term of the result (3x) by the first term of the divisor (x), which gives us 3.</p>
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<p><strong>Step 5:</strong>Multiply the entire divisor (x + 4) by 3, resulting in 3x + 12.</p>
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<p><strong>Step 5:</strong>Multiply the entire divisor (x + 4) by 3, resulting in 3x + 12.</p>
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<p><strong>Step 6:</strong>Subtract 3x + 12 from 3x + 12, resulting in 0.</p>
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<p><strong>Step 6:</strong>Subtract 3x + 12 from 3x + 12, resulting in 0.</p>
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<p>Therefore, the quotient is x + 3, with a remainder of 0.</p>
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<p>Therefore, the quotient is x + 3, with a remainder of 0.</p>
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<h2>Important Glossaries of Quotient of x² + 7x + 12 and x + 4</h2>
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<h2>Important Glossaries of Quotient of x² + 7x + 12 and x + 4</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 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 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>Remainder:</strong>The leftover part of the dividend that is not divisible by the divisor. ```</li>
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</ul><ul><li><strong>Remainder:</strong>The leftover part of the dividend that is not divisible 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>