Synthetic division tells you the quotient is 4x^2 +16x +42 with a remainder of 92. To check this, we can multiply the quotient by the divisor and add the remainder:
(x -2)(4x^2 +16x +42) +92
= x(4x^2 +16x +42) -2(4x^2 +16x +42) +92
= 4x^3 +16x^2 +42x -8x^2 -32x -84 +92
= 4x^3 +8x^2 +10x +8 . . . . . the original dividend, as required
She wanted to know how long it took her to complete one set of 30 jumping jacks on average, and the results were 28 seconds and 30 seconds. 33 seconds are up 3 minutes 35 seconds