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Can the sum of two polynomials with x as the variable both starting as degree 4 simplify to be of degree 3?
Wiki User
∙ 10y ago
Yes.
If and only if the coefficients of x4 are of the same magnitude and opposite sign.
Wiki User
∙ 10y ago
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How do you classify polynomials based on degree?
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.
Why it is not possible to add two polynomials of degree 3 and get a polynomial of 4?
When you add polynomials, you simply add the coefficients of the variable taken to the same degree. For example (x3 + 2x2 + 3x + 4) added to (2x3 - 4x2 + x -2) would give you [(1+2)x3 + (2-4)x2 + (3+1)x + (4-2)] or 3x3 - 2x2 + 4x + 2 You would get a fourth degree polynomial by multiplying this one by x. Another way to think of it: If you add 1 apple and 3 apples (like one times x2 and 3 times x2) you still get apples, not watermelons.
Is the degree of a polynomial the greatest or least value of the variable's exponent?
The greatest.
What is a degree of a real polynomial?
The degree is the highest power of the variable. For example, x5 + 3x3 - x + 4 is of degree 5, since the highest power of "x" is 5.
Can two third-degree polynomials be added to produce a second-degree polynomial?
Yes. If the coefficient of the third degree terms in one polynomial are the additive inverses (minus numbers) of the coefficient of the corresponding terms in the second polynomial. Eg: 3x3 + 2x2 + 5 and -3x3 + x - 7 add to give 2x2 + x - 2
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
What is the correct order in which polynomials be always written?
put the variable that has the highest degree first.
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.
How do you identify the polynomials of degree one?
The degree of a polynomial is determined by the highest degree of the terms within it, and the degree of the terms is determined by the power of the variable and the amount of variables in it.For example, the term 3x has a degree of one, as does 5y. However when there is more than one variable you add the degrees together, so 4xy has a degree of 2, not 1. Any single variable to the 2nd power e.g. 8x2 also has a degree of 2.So a polynomial of one degree is a polynomial where each of its terms only have one variable to the first power so 5+x is to one degree, as is 1+2x+3y+4z despite having more than one variable in the expression.
Degree of polynomials?
2x2y2+5=0 how to solve this
What is a degree of polynomial?
That means that the monomial of the highest degree has a degree higher than 1. For example: x + 5 3x - 7 -27x + 8
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.
A linear term has degree?
For a term with one variable, the degree is the variable's exponent. With more than one variable, the degree is the sum of the exponents of the variables. This means a linear term has degree 1 and a constant has degree 0.
How do you state the degree of a polynomials?
find the number with the highest exponent, that exponent is the degree. for example, 2x to the 3rd power + 6x to the 2nd power the degree is 3
