Perkins Ortiz
06/22/2024 · Middle School
Divide. If the divisor contains 2 or more terms, use long division. \( \frac{y^{3}+3 y^{2}+6}{y-2} \)
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Step-by-step Solution
Using long division to calculate \( (y^3+3y^2+6) \div (y-2) \).
Divide the polynomials by following steps:
- step0: Using Long Division to Divide Polynomials:
\(\left(y^{3}+3y^{2}+6\right)\div \left(y-2\right)\)
- step1: Calculate:
\(\left(y^{2}+5y+10\right)\text{ }\textrm{remainder}\text{ }26\)
The division of \( \frac{y^{3}+3y^{2}+6}{y-2} \) results in \( y^{2}+5y+10 \) with a remainder of 26.
Quick Answer
The division results in \( y^{2}+5y+10 \) with a remainder of 26.
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