Question

add (1.3t³ + 0.4t² - 24t) + (8 - 18t + 0.6t²)
for each term in the second polynomial, enter the letter showing where that term should be placed to add the polynomials vertically.
1.3t³ + 0.4t² + (-24t)
+ a b c d

= 0.6t²
= 0t³
= 8
= -18t
done

Explanation:

Step1: Match like - terms

When adding polynomials vertically, we align like - terms. The first polynomial is \(1.3t^{3}+0.4t^{2}-24t\) and the second is \(0t^{3}+0.6t^{2}-18t + 8\).
The term \(0.6t^{2}\) should be placed under \(0.4t^{2}\), so it is in position B.
The term \(0t^{3}\) should be placed under \(1.3t^{3}\), so it is in position A.
The constant term 8 has no like - term with \(t\) or \(t^{2}\) or \(t^{3}\) in the first polynomial, so it is in position D.
The term \(-18t\) should be placed under \(-24t\), so it is in position C.

Answer:

\(0.6t^{2}\): B
\(0t^{3}\): A
\(8\): D
\(-18t\): C