Wednesday, March 10, 2010

Today we talked about how to find the degree of a polynomial with one variable. After reading pg 495, in your own words, describe how to find the degree of a polynomial with two variables. For example 4xy+6x+7
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8 comments:

  1. AnonymousMarch 10, 2010 at 12:41 PM

    you take the highest degree in the expression, the highest degree in that expression would be 1. -Jesse

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  2. AnonymousMarch 10, 2010 at 1:05 PM

    To find the degree of a polynomial with two variable, you would take the highest degeree in the expression listed. As is shown, the highest degree in the expression would be -1.
    Brendan

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  3. AnonymousMarch 10, 2010 at 1:33 PM

    To find the degree you add both degrees in one term. The degree of 4xy is 2. I found this out because 4x^1y^1 if you add both of the degrees of each variable you get a degree of 2. So the highest degree in that expression would be 2.
    Simon Bellido

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  4. AnonymousMarch 10, 2010 at 1:45 PM

    add both degrees to make one term tthats going to be 4xy is 2. if you add both it would be 2. Nick N.

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  5. AnonymousMarch 10, 2010 at 2:25 PM

    The degree of a polynomial with one variable or a monomial is that its the sum of the exponents of its variable. This means that if u add all the exponents, the degree is the total of it. Ex is 7x^2y^3. The degree of this is 5. The exponents are 2 and 3. Their sum is 5. Monomial is an expression that is a number, a variable, or a product of a number and one or more variables. In short, a monomial is only one term that could be a variable or a number or product or fraction.

    Another thing about degrees of a polynomials is that for every nonzero constant (any number but not zero, the degree is 0. Ex. 4. The degree is 0 despite no variable or exponent. Zero has no degree.

    A polynomial is a monomial or the sum or difference of two or more monomials. This means that a polynomial could be a monomial, binomial, or trinomial. There is no limit to how many there can be. The degree of a polynomial in one variable is the same as the degree of the monomial with the greatest exponent. This means the highest exponent of the polynomial is the degree. After simplify (reducing or making it small or making it simple) the polynomial, you can name the polynomial based on degree or the number of monomial it contains.

    Names of Degrees based off number:
    Linear=1 or F(x)=1. Remember linear means line, one line.
    Quadratic=2 or F(x)=2.
    Cubic=3 or F(x=3. Remember how u say 3 when dealing with area or perimeter. You say 3 as cubed.
    Fourth degree=4 or F(x)=4. Just remember the name when dealing with how many degrees.

    Names of polynomial depending on terms:
    The main ones are monomial (1), binomial(2), or trinomial (3). There are more than these names. There are those for 4, 5, 6, etc...

    Standard form of a polynomial= the degrees of its monomial terms decrease from left to right. This pretty much means ordering polynomials.

    4xy + 6x + 7 = Trinomial
    4xy= x=^1, y=^1. The exponents is 1 and 1. Sum is 2. Degree is 2
    6x= degree is 1
    7=degree is 0.
    4xy + 6x + 7
    2 1 0 = standard form
    The degree of this trinomial is 2 because it is the greatest exponent. This polynomial is called quadratic trinomial. Its quadriatic cause its 2 degrees. Its a trinomial due to having 3 terms.

    Another method:
    4xy + 6y + 7
    1 1 0
    This is called a linear trinomial. Linear due to having one degree. Trinomial due to having 3 terms.

    Not sure which one is right though I going for the degree is 2. But another part of me goes for the 1. Im probably mixed up due to the exponents. Mark Soriano

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  6. AnonymousMarch 10, 2010 at 5:07 PM

    To find the degree of a polynomial with 2 expressions you add the degrees together.
    An example of this would be 3xy+x The exponents of the example is what you need to add together to find the degree. 3 x^1 y^1 + x^1. The highest degree is 3 in this example.
    Kingston

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  7. AnonymousMarch 10, 2010 at 6:04 PM

    To find the degree of a polynomial with two variables you would add them together. For example in 4xy+6x+7 you would add x and y. Which total up to 2 because 4x^1 + y^1 = 2 . Two is higher than the other one, 6x which is only one. Which then makes 2 the highest degree in the question.
    Alex Goncalvess

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  8. AnonymousMarch 11, 2010 at 6:14 PM

    First off i would just like to ask mark to please stop writing books as posts :) and to find the degree of a polynomial such as the example, is to total the degrees of both variables so 4xy+6x+7 the degree would be 2 b/c both x and y are to the 1st degree

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