Question

Find the coefficients of a cubic function (linear algebra)

Answer 1

basically i can only figure out how to make 2 equations but have 4 unknowns

Answer 2

not sure what they mean by horizontal tangent lines at those points.

Answer 3

take the derivative, set it equal to zero and solve
those give you the horizontal tangent lines

Answer 4

clear or no?

Answer 5

not clear. what do I take the derivative of?

Answer 6

\[ax^3+bx^2+cx+d\]

Answer 7

3ax^2+2bx+c=0

Answer 8

it has to be zero if \(x=-2\) and also 0 if \(x=4\)

Answer 9

WRONG i meant 0 if \(x=-2\) and 0 if \(x=2\) sorry

Answer 10

what about C

Answer 11

what about it?

Answer 12

put in \(x=2\) you get \[12a+4b+c=0\] as one equation

Answer 13

then put in \(-2\) for \(x\) and get another one

Answer 14

clear or no?

Answer 15

gonna try something real quick with that equation