Please help me solve this

Describe the 2 algebraic methods you can use to find the zeros of the function f(t)=-16t^2+400.

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)

Which expression is a factor of 12x2 + 29x – 8? x – 8 2x – 1 3x + 8 4x + 1