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The degree of a monomial is the sum of the exponents. Example: 28x3yn2. Although the letters are different, the degree is 3+1+2. The 1 is understood above the y. So the degree is 6.
The degree of anything besides a monomial is the highest degree of the other monomials. For example: 77a3b5c6+100xyz.
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3+5+6 1+1+1
14 3
Although the 100 is the bigger number, the degree of this binomial is 14. The same is for a trinomial etc. You just find the degree of all monomials. The highest degree is the degree the whole binomial/trinomial ect.
I hope I helped!
What else can I help you with?
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.
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
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.
