A theme park designer has prepared plans for a children’s mini roller coaster. The cross-sectional profile is given by the following higher degree polynomial function:
f(x) = (x^2/100) • (x^4 - 16x^3 + 88x^2 - 192x +144)
where x is the horizontal distance in metres, on an interval [0, 6] and
f(x) is the vertical height, from the ground, in metres.
a) Fully factor this function. (Use the Rational Zero Theorem and synthetic division to factor the fourth degree polynomial factor.)
b) Estimate the highest elevation reached by the mini roller coaster.
Definitely need help with a, but b i kinda understand. Help please!!
f(x) = (x^2/100) • (x^4 - 16x^3 + 88x^2 - 192x +144)
where x is the horizontal distance in metres, on an interval [0, 6] and
f(x) is the vertical height, from the ground, in metres.
a) Fully factor this function. (Use the Rational Zero Theorem and synthetic division to factor the fourth degree polynomial factor.)
b) Estimate the highest elevation reached by the mini roller coaster.
Definitely need help with a, but b i kinda understand. Help please!!