Add the following polynomials: Select the correct answer below: \( \left.8 t^{2}-t+5\right)+\left(7 t^{2}-4 t-20\right) \) \( 8 t^{2}-5 t+15 \) \( 8 t^{2}-5 t-15 \) \( 8 t^{2}-5 t+25 \) \( 8 t^{2}+3 t+25 \)

To add the polynomials \( \left.8 t^{2}-t+5\right)+\left(7 t^{2}-4 t-20\right) \), you need to combine like terms. First, add the \( t^2 \) terms: \( 8 t^2 + 7 t^2 = 15 t^2 \). Next, combine the \( t \) terms: \( -t - 4t = -5t \). Lastly, add the constant terms: \( 5 - 20 = -15 \). Putting it all together gives you \( 15 t^{2} - 5t - 15 \). However, none of the answer options match this result directly, suggesting a possible re-examination of the options or the input polynomial. Regardless, look closely! The second polynomial \( 7 t^{2}-4 t-20 \) could be checked for accuracy in matching forms. The correct answer doesn't appear to be listed in those provided options as \( 15 t^{2} - 5t - 15 \). If you’re asked for a simple add of two polynomials, be sure to double-check terms and carry them properly.