First factor each term completely:
-5t^4 = -1 * 5 * t * t * t * t
35t^2 = 5 * 7 * t * t
10t = 5 * 2 * t
5 is the greatest common factor of the integer portion of all three terms
t is the greatest common factor of the variable portion of all three terms
The greatest common factor of the polynomial is the product of those 2 GCF = 5 * t
Factor the GCF out from each term and group the remnants in side the parenthesis:
5t * (-t^3 + 7t + 2)
Because:
5t * -t^3 = -5t^4
5t * 7t + 35t^2
5t * 2 = 10t
