CPM Homework Help : APCALC Problem 12-12

Write the equation of a third-degree polynomial function $f$ such that $f(0) = 7$ , $f ′(0) = -3$ , $f^{\prime\prime}(0) = 18$ , and $f^{\prime\prime\prime} (0) = -30$ .

Hint:

$f(x)=ax^3+bx^2+cx+d$

Use $f(0)$ to solve for $d$ .

More Help:

$f^\prime(x)=3ax^2+2bx+c$

Use $f^{\prime}(0)$ to solve for $c$ .