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149 LearnersLast updated on October 28, 2025
Quotient of 5x² + 22x + 8 divided by x + 4
What is the Quotient of 5x² + 22x + 8 divided by x + 4?
To find the quotient of (5x² + 22x + 8) ÷ (x + 4), we can follow the steps given below.
These steps simplify the polynomial division process.
Step 1: Set up the division like a long division problem with 5x² + 22x + 8 as the dividend and x + 4 as the divisor.
Step 2: Divide the first term of the dividend (5x²) by the first term of the divisor (x) to get the first term of the quotient, which is 5x.
Step 3: Multiply the entire divisor (x + 4) by this term (5x) and subtract the result from the original dividend.
Step 4: Bring down the next term from the dividend and repeat the process.
Step 5: Continue this process until all terms of the dividend have been divided. The remainder, if any, will be a polynomial of lower degree than the divisor.
Step 6: If needed, verify your result by multiplying the quotient by the divisor and adding any remainder to see if you get back to the original dividend.
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Important Glossaries of Polynomial Division
- Quotient: The result obtained after dividing one polynomial by another.
- Dividend: The polynomial that is being divided.
- Divisor: The polynomial by which the dividend is divided.
- Remainder: The leftover part of the dividend after division which cannot be divided further by the divisor.
- Polynomial: An algebraic expression consisting of variables and coefficients, involving terms in powers of variables.
Vikrant Sharma
About the Author
Vikrant is a passionate Mathematics teacher with over 5 years of teaching experience in both conventional and Vedic Maths. His student-focused approach combines clear concepts with motivation and encouragement, helping students build confidence and develo
Fun Fact
: He loves to play the quiz with kids through algebra to make kids love it.
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