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Mathematics 8 Online
OpenStudy (anonymous):

State the degree of the polynomial. xy + 3x2 7 + x

OpenStudy (anonymous):

3?

OpenStudy (skullpatrol):

Why 3?

OpenStudy (anonymous):

Because 3 would be the only number that would be in the middle. And that would make it considered the number of the polynomial? Am I correct?

OpenStudy (skullpatrol):

Degree of a polynomial: The greatest of the degrees of its terms after it has been simplified.

OpenStudy (skullpatrol):

$$xy + 3x^2 + 7 + x$$

OpenStudy (skullpatrol):

OpenStudy values the Learning process - not the ‘Give you an answer’ process Don’t post only answers - guide the asker to a solution.

OpenStudy (tkhunny):

2, not 3 xy - Degree 2 3x2 - Degree 2 7 - Degree 0 x - Degree 1 What's the greatest?

OpenStudy (anonymous):

i am pretty positive that the degree of a polynomial is the highest exponent.

OpenStudy (tkhunny):

"Highest exponent" is a good defintion IF there is only one variable. You must add up the exponents of all existing variables to determine the degree.

OpenStudy (anonymous):

I would say 2?

OpenStudy (skullpatrol):

What is the degree of a monomial?

OpenStudy (anonymous):

A degree of a monomial is simply what exponent or power the monomial is raised to. Key: ^ means "raised to the power of" -5t^2 means the degree is 2, the number is -5, and the variable which is being put to the power of, is t.

OpenStudy (skullpatrol):

degree of a monomial: The sum of the the degrees of the variables in the monomial.

OpenStudy (anonymous):

Okay.

OpenStudy (skullpatrol):

What is the degree of "xy"?

OpenStudy (anonymous):

= -x^1y^1 -> 1 + 1 = 2nd degree ???

OpenStudy (skullpatrol):

Correct.

OpenStudy (anonymous):

So It would be 1?

OpenStudy (skullpatrol):

No, as you have shown 1 + 1 = 2

OpenStudy (skullpatrol):

Also are you missing a "+" in the middle of xy + 3x2 ? 7 + x

OpenStudy (skullpatrol):

$$xy + 3x^2 + 7 + x$$

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