Question
Use vertical form to add the polynomials. (Simplify your answer completely.) \( \begin{array}{l}4 x^{3}-9 x^{2}+8 \\ 8 x^{3}+5 x^{2}+19\end{array} \) SUBMIT ANSWER
Ask by Valdez Guzman. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\(12x^{3} - 4x^{2} + 27\)
Solution
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Mind Expander
To add the polynomials using vertical form, align the like terms: ``` 4x^3 - 9x^2 + 8 + 8x^3 + 5x^2 +19 ----------------------- ``` Now, perform the addition for each column: - For \(x^3\): \(4x^3 + 8x^3 = 12x^3\) - For \(x^2\): \(-9x^2 + 5x^2 = -4x^2\) - For the constant terms: \(8 + 19 = 27\) Now combine all the results: \(12x^3 - 4x^2 + 27\) So, the simplified answer is: \(12x^3 - 4x^2 + 27\)