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2026-01-01
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<p>109 Learners</p>
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<p>Last updated on<strong>October 28, 2025</strong></p>
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<p>Last updated on<strong>October 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 and may have a remainder, depending on the polynomials involved. We will learn about the quotient of 3x²+17x+10 divided by x+5 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 and may have a remainder, depending on the polynomials involved. We will learn about the quotient of 3x²+17x+10 divided by x+5 below.</p>
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<h2>What is the Quotient of 3x²+17x+10 by x+5?</h2>
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<h2>What is the Quotient of 3x²+17x+10 by x+5?</h2>
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<p>To find the<a>quotient</a>of (3x²+17x+10) ÷ (x+5), we can follow the steps given below.</p>
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<p>To find the<a>quotient</a>of (3x²+17x+10) ÷ (x+5), we can follow the steps given below.</p>
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<p>These steps make the<a>polynomial division</a>process simple.</p>
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<p>These steps make the<a>polynomial division</a>process simple.</p>
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<p>Step 1: Set up the division, writing the<a>dividend</a>3x²+17x+10 and the<a>divisor</a>x+5.</p>
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<p>Step 1: Set up the division, writing the<a>dividend</a>3x²+17x+10 and the<a>divisor</a>x+5.</p>
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<p>Step 2: Divide the first<a>term</a>of the dividend (3x²) by the first term of the divisor (x), which gives 3x.</p>
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<p>Step 2: Divide the first<a>term</a>of the dividend (3x²) by the first term of the divisor (x), which gives 3x.</p>
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<p>Step 3: Multiply the entire divisor (x+5) by this result (3x), which gives 3x²+15x.</p>
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<p>Step 3: Multiply the entire divisor (x+5) by this result (3x), which gives 3x²+15x.</p>
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<p>Step 4: Subtract this<a>product</a>from the original dividend: (3x²+17x+10) - (3x²+15x) = 2x+10.</p>
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<p>Step 4: Subtract this<a>product</a>from the original dividend: (3x²+17x+10) - (3x²+15x) = 2x+10.</p>
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<p>Step 5: Repeat the process with the new dividend (2x+10). Divide the first term (2x) by the first term of the divisor (x), giving 2.</p>
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<p>Step 5: Repeat the process with the new dividend (2x+10). Divide the first term (2x) by the first term of the divisor (x), giving 2.</p>
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<p>Step 6: Multiply the entire divisor by this result (2), which gives 2x+10.</p>
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<p>Step 6: Multiply the entire divisor by this result (2), which gives 2x+10.</p>
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<p>Step 7: Subtract this product from the current dividend: (2x+10) - (2x+10) = 0. So, the quotient is 3x+2 with a<a>remainder</a>of 0.</p>
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<p>Step 7: Subtract this product from the current dividend: (2x+10) - (2x+10) = 0. So, the quotient is 3x+2 with a<a>remainder</a>of 0.</p>
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<h2>Important Glossaries of Quotient of 3x²+17x+10 by x+5</h2>
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<h2>Important Glossaries of Quotient of 3x²+17x+10 by x+5</h2>
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<ul><li><strong>Quotient</strong>: The result we get after dividing one polynomial by another.</li>
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<ul><li><strong>Quotient</strong>: The result we get after dividing one polynomial by another.</li>
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</ul><ul><li><strong>Polynomial</strong>: An expression consisting of variables and coefficients, that involves the operations of addition, subtraction, multiplication, and non-negative integer exponents.</li>
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</ul><ul><li><strong>Polynomial</strong>: An expression consisting of variables and coefficients, that involves the operations of addition, subtraction, multiplication, and 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 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 part of the dividend that is left over after division, which is zero in this case.</li>
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</ul><ul><li><strong>Remainder</strong>: The part of the dividend that is left over after division, which is zero in this case.</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>