- #1
MathTroubled
- 3
- 0
Homework Statement
Graph this equation:
P=-0.2t^3+2t^2+8t+2
t belongs to [0,13]
Homework Equations
The Attempt at a Solution
Can't seem to get factored to find x-int.
and the rest of the graph.
MathTroubled said:Im kinda math troubled like my username says lol.
Can anyone show me the steps they took to solve this?
MathTroubled said:yeah my textbook doesn't describe transformations well for this chapter.
If you shift the graph down by 2 you can factor that.MathTroubled said:Homework Statement
Graph this equation:
P=-0.2t^3+2t^2+8t+2
t belongs to [0,13]
Homework Equations
The Attempt at a Solution
Can't seem to get factored to find x-int.
and the rest of the graph.
A cubic equation is a polynomial equation of degree three, meaning that the highest power of the variable is three. It is in the form ax^3 + bx^2 + cx + d = 0, where a, b, c, and d are constants.
There are several methods for solving a cubic equation, including factoring, using the rational root theorem, and using the cubic formula. The most common method is to use the cubic formula, which involves finding the roots of the equation using complex numbers.
Graphing a cubic equation allows us to visualize the solutions to the equation and understand the behavior of the function. It can also help us identify any real or complex roots of the equation and determine the end behavior of the function.
A cubic equation can have up to three solutions, but it can also have fewer. This is because some solutions may be complex numbers, and some may be repeated roots. However, by the fundamental theorem of algebra, a cubic equation will always have at least one solution.
The discriminant of a cubic equation is a key factor in determining the number and nature of its solutions. If the discriminant is positive, the equation will have three distinct real roots. If it is negative, the equation will have one real root and two complex roots. And if the discriminant is zero, the equation will have one single root that is repeated three times.