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Can all cubic polynomials be factored into polynomials of degree 1 or 2?
Not into rational factors.
How is the degree of of the sum related to the degree of the original polynomials?
Usually the sum will have the same degree as the highest degree of the polynomials that are added. However, it is also possible for the highest term to cancel, for example if one polynomial has an x3, and the other a -x3. In this case, the sum will have a lower degree.
What is the correct order in which polynomials be always written?
put the variable that has the highest degree first.
All polynomials have at least one maximum?
Not quite. The point at infinity cannot be regarded as a maximum since the value will continue to increase asymptotically. As a result no polynomial of odd degree can have a maximum. Only polynomials of an even degree whose leading coefficient is negative will have a global maximum.
Can the sum of two polynomials with x as the variable both starting as degree 4 simplify to be of degree 3 in the answer?
Yes. Here is an example: P1 = 5x4 + 3x3; P2 = -5x4 -2
Are the Lagrangian polynomials of degree n is orthogonal to the polynomials of degree less than n?
No this is not the case.
Finding roots by graphing not only works for quadratic that is second-degree polynomials but polynomials of degree as well?
Higher
Can all cubic polynomials be factored into polynomials of degree 1 or 2?
Not into rational factors.
Degree of polynomials?
2x2y2+5=0 how to solve this
How is the degree of of the sum related to the degree of the original polynomials?
Usually the sum will have the same degree as the highest degree of the polynomials that are added. However, it is also possible for the highest term to cancel, for example if one polynomial has an x3, and the other a -x3. In this case, the sum will have a lower degree.
In the study of polynomials what is the degree of x and the log of x?
The degree of x is 1. Log of x is no part of a polynomial.
What is the correct order in which polynomials be always written?
put the variable that has the highest degree first.
What are three types of polynomials?
binomial, trinomial, sixth-degree polynomial, monomial.
What has the author W E Sewell written?
W. E. Sewell has written: 'Degree of approximation by polynomials in the complex domain' -- subject(s): Approximation theory, Numerical analysis, Polynomials
What is the best way to solve second degree equations?
The answer depends on whether the equations are second degree polynomials, second degree differential equations or whatever. The methods are very different!
All polynomials have at least one maximum?
Not quite. The point at infinity cannot be regarded as a maximum since the value will continue to increase asymptotically. As a result no polynomial of odd degree can have a maximum. Only polynomials of an even degree whose leading coefficient is negative will have a global maximum.
How can you get the degree of the polynomials?
The degree of a polynomial is the highest degree of its terms.The degree of a term is the sum of the exponents of the variables.7x3y2 + 15xy6 + 23x2y2The degree of the first term is 5.The degree of the second term is 7.The degree of the third term is 4.The degree of the polynomial is 7.
