The factor theorem states that if (x-a) is a factor of P(x) the P(a) = 0 so we can write, for this polynomial:
2^(4) - 3(2)^3 + A(2)^2 - 6(2) + 14 = 0
16 - 24 + 4A - 12 + 14 = 0
4A = -16+24 + 12 - 14 = 6
A = 6/4 = 1.5
The inequality that represents this phrase is n+6 > 31.
Since 3/5 of an hour is 36 minutes and the robot can complete 8 tasks in 36 minutes. The remaining minutes are 24 and in 24 minutes the robot can do about 5 tasks so add 5 and 8 to get about 13 tasks in an hour.
Explanation: Just divide 36 by 24 to get 1.5 and divide 8 by 1.5 to get about 5. Then add 8 + 5 to get 13 the final result. So it’s 13 tasks. Sorry if I got it wrong.
