Question

add the following polynomials: (6n² - 7n⁴ + 8) + (6 + 8n + 4n⁴) options: -n⁴ + 6n² + 8n + 7; -3n⁴ + 6n² + 8n + 7; -n⁴ - 2n² + 8n + 7; -3n⁴ + 6n² + 8n + 14

Explanation:

Step1: Remove parentheses

$(6n^{2}-7n^{4}+8)+(6 + 8n + 4n^{4})=6n^{2}-7n^{4}+8+6 + 8n + 4n^{4}$

Step2: Combine like terms for \(n^4\)

$-7n^{4}+4n^{4}=(-7 + 4)n^{4}=-3n^{4}$

Step3: Combine constant terms

$8 + 6=14$

Step4: Write the combined polynomial

Putting it all together: $-3n^{4}+6n^{2}+8n + 14$

Answer:

\(-3n^{4}+ 6n^{2}+8n+14\) (corresponding to the option with this polynomial)