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They are both polynomial functions. A quadratic is of order 2 while a cubic is of order 3.

A cubic MUST have a real root, a quadratic need not.

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If a quadratic makes a parabola what is the name of the shape produced by a cubic function?

A cubic.


Once you have reduced a polynomial to a cubic function you can always use the quadratic formula to finish the problem?

false


Is f(x)(x 2)(4-x) a quadratic function?

Yes, ( f(x) = x^2(4 - x) ) is a quadratic function. When expanded, it becomes ( f(x) = 4x^2 - x^3 ), which is a polynomial of degree 3. However, if we consider the term ( x^2(4 - x) ) without expansion, the leading term ( x^2 ) indicates it has a quadratic component, but the presence of ( -x^3 ) means it is not purely quadratic. Thus, it is a cubic function, not a quadratic one.


What are the similarities between quadratic function and cubic function?

Both quadratic and cubic functions are polynomial functions, meaning they can be expressed in the form of ( ax^n + bx^{n-1} + \ldots ) where ( a ) is a non-zero coefficient and ( n ) is a non-negative integer. They both exhibit smooth, continuous curves and can have real or complex roots. Additionally, both types of functions can model a variety of real-world phenomena and can be analyzed using similar techniques, such as finding their vertices, intercepts, and analyzing their behavior at infinity.


How to calculate cubic function using point of inflection and extrema?

cubic function cubic function


A quadratic polynomial is a third-degree polynomial?

No. A quadratic polynomial is degree 2 (2 is the highest power); a cubic polynomial is degree 3 (3 is the highest power).No. A quadratic polynomial is degree 2 (2 is the highest power); a cubic polynomial is degree 3 (3 is the highest power).No. A quadratic polynomial is degree 2 (2 is the highest power); a cubic polynomial is degree 3 (3 is the highest power).No. A quadratic polynomial is degree 2 (2 is the highest power); a cubic polynomial is degree 3 (3 is the highest power).


What is the inverse of a cubic function?

The inverse of the cubic function is the cube root function.


How do you find the vertices of a cubic function?

A cubic function is a smooth function (differentiable everywhere). It has no vertices anywhere.


If you multiply a linear polynomial by a quadratic one what is the degree of the product polynomial?

It will be a cubic polynomial.


The expression 12xyz-45 is a?

It is a simple (i-e. not quadratic or cubic)equation with several unknown quantities.


Is A quadratic polynomial a third-degree polynomial?

No, it's second degree. Third degree is cubic.


Can the sum of a cubic and a quadratic polynomial may have a degree different from 4?

The sum of a cubic and a quadratic is still a cubic.(ax3+ bx2+ cx + d) + (ex2+ fx + g) = ax3+ (b+e)x2+ (c+f)x + (d+g)Therefore, the result will always be different to a polynomial of degree 4.