Question

A cubic polynomial function f is defined by f(x) = 4x^3 + ax^2 + bx + k?
A cubic polynomial function f is defined by:

f(x) = 4x^3 + ax^2 + bx + k

where a, b, and k are constants.
The function f has a local minimum at x= -1, and the graph of f has a point of inflection at x= -2.

a) Find the values of a and b

b) If ∫ (from 0 to 1) f(x) dx = 32, what is the value of k?

I found a=24 and b=36
i don't know about B

Related Questions

A cubic polynomial function f is defined by f(x)= 4x^3+ab^2+bx+k where a, b, k, are constants.... The cubic polynomial f(x) is such that the coefficient of x^3 is -1. and the roots of the equation f... #1. A cubic polynomial function f is defined by f(x) = 4x^3 +ax^2 + bx + k where a, b and k are co... If p(x) is a cubic polynomial such that p(0) = 0, P(2) = -4 and P(x) is positive only when x > 4 fin... f(x) is a cubic polynomial that satisfies f(1)=f(2)=f(3)=4 and f(0)=0. What is the value of f(7)? f(x) is a cubic polynomial such that f(n)=1/n^2+1 for n=1,2,3,4. If f(0)=a/b,where a and b are cop... A cubic polynomial function f(x) has leading coefficient -2 and intercepts the y-axis at 2. If f(1)=... Let f(x) be a cubic polynomial function such that y=13(x-1)+4 is tangent to the graph of f(x)at (1,... If P(x) is a cubic polynomial with P(1)=1, P(2)=2, P(3)=3, P(4)=5, find P(6). Consider the cubic polynomial f(z) =z3−2z+ 4. Given that z = 1 +i is a root of f(z), determine all...