Question

factor out the greatest common factor. if the greatest common factor is 1, just retype the polynomial.
$2t^3 + 8t^2$

Explanation:

Step1: Identify GCF of coefficients

The coefficients are 2 and 8. The greatest common factor of 2 and 8 is 2.

Step2: Identify GCF of variables

The variable terms are $t^3$ and $t^2$. The greatest common factor is $t^2$ (the lowest power of $t$ present).

Step3: Factor out the overall GCF

Factor $2t^2$ from each term of the polynomial:
$2t^3 + 8t^2 = 2t^2(t) + 2t^2(4) = 2t^2(t + 4)$

Answer:

$2t^2(t + 4)$