State the degree of the polynomial. xy + 3x2 7 + x
3?
Why 3?
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?
Degree of a polynomial: The greatest of the degrees of its terms after it has been simplified.
$$xy + 3x^2 + 7 + x$$
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2, not 3 xy - Degree 2 3x2 - Degree 2 7 - Degree 0 x - Degree 1 What's the greatest?
i am pretty positive that the degree of a polynomial is the highest exponent.
"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.
I would say 2?
What is the degree of a monomial?
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.
degree of a monomial: The sum of the the degrees of the variables in the monomial.
Okay.
What is the degree of "xy"?
= -x^1y^1 -> 1 + 1 = 2nd degree ???
Correct.
So It would be 1?
No, as you have shown 1 + 1 = 2
Also are you missing a "+" in the middle of xy + 3x2 ? 7 + x
$$xy + 3x^2 + 7 + x$$
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