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Can the sum of a cubic and a quadratic polynomial may have a degree different from 4?
Wiki User
∙ 11y ago
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.
Wiki User
∙ 11y ago
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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).
If you multiply a linear polynomial by a quadratic one what is the degree of the product polynomial?
It will be a cubic polynomial.
What are comparisons between a cubic and quadratic function?
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.
What statement must be true of an equation before you can use the quadratic formula to find the solutions?
The quadratic formula can be used to find the solutions of a quadratic equation - not a linear or cubic, or non-polynomial equation. The quadratic formula will always provide the solutions to a quadratic equation - whether the solutions are rational, real or complex numbers.
Why are 1 2 3 and 4 not cubic polynomial functions?
1 2 3 and 4 are 4 numbers, they are not functions of any sort - cubic polynomial or otherwise.
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).
Is A quadratic polynomial a third-degree polynomial?
No, it's second degree. Third degree is cubic.
If you multiply a linear polynomial by a quadratic one what is the degree of the product polynomial?
It will be a cubic polynomial.
Is second-degree polynomial is a quadratic polynomial?
Yes, any second-degree polynomial is quadratic. Degree 0 - constant (8) Degree 1 - linear (n) Degree 2 - quadratic (n^2) Degree 3 - cubic (n^3) Degree 4 - fourth degree (n^4) Degree 5 - fifth degree (n^5) Degree 6 - sixth degree (n^6) and so on............ Also a degree I find funny is the special name for one hundredth degree. Degree 100 - hectic (n^100)
Different types of functions in maths?
Piecewise, linear, exponential, quadratic, Onto, cubic, polynomial and absolute value.
What is a zero degree polynomial called?
a polynomial of degree...............is called a cubic polynomial
What is a synonym for third degree polynomial?
A cubic polynomial.
What are comparisons between a cubic and quadratic function?
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.
What is the mathematical term for a polynomial with 3 terms in the 3rd degree?
A third degree polynomial is called a cubic - regardless of how many terms it has, it is named after the highest power.x3+ x - 1 is still a cubic, despite the lack of an x2term. Likewise, x2- 4 is still a quadratic, and x4- 2x is called a quartic.
What is the polynomial and degree of 7x3 6x2 -2?
The polynomial 7x3 + 6x2 - 2 has a degree of 3, making it cubic.
Once you have reduced a polynomial to a cubic function you can always use the quadratic formula to finish the problem?
false
What are quadratic polynomial quartic polynomial constant polynomial and quintic polynomial?
Those words refer to the degree, or highest exponent that modifies a variable, or the polynomial.Constant=No variables in the polynomialLinear=Variable raised to the first powerQuadratic=Variable raised to the second power (or "squared")Cubic=Variable raised to the third power (or "cubed")Quartic=Variable raised to the fourth powerQuintic=Variable raised to the fifth powerAnything higher than that is known as a "6th-degree" polynomial, or "21st-degree" polynomial. It all depends on the highest exponent in the polynomial. Remember, exponents modifying a constant (normal number) do not count.
