need maths help - stuck one question?

Question

A particle, P, moves along the x-axis. P is initially at rest at the origin, O. At time, T, seconds the acceleration of P in the direction of x is increasing is (3t^2-14t+12)ms^-2. Find:
a) the none-zero values of t at which P is instantaneously at rest.
b) the distance travelled by P in the interval 1
I tried equating the equation to zero and it almost factors to -3 and -4.

Answer 1

speed is the integral of acceleration and distance is integral of speed.

part a is when velocity is zero, not acc
Integrate the eq you get from part a again between 1 and 2.