It is a linear expression.
The x^5 at the beginning makes the degree of the polynomial 5.
False. The height of the degree does not really matter in this case. There just have to be other monomials in the problem to be considered a polynomial. "Poly" means many.
An expression of the second degree can be any kind of expression, the most popular being a quadratic polynomial of the form ax^2 + bx + c.
The degree of a polynomial is the highest exponent in the polynomial.
It is a linear expression.
The x^5 at the beginning makes the degree of the polynomial 5.
A polynomial expression is one with a degree higher than 0. Hence, all constants will meet your criterion. Note that (x+2) or [sin(2x)+4] is a polynomial of degree 1. The following is a trivial (normally ignored; inconsequential) non-polynomial: (5x2 - 2x2 - 3x2 + 2) ======================================
Both - a polynomial expression, if you like.
False
False. The height of the degree does not really matter in this case. There just have to be other monomials in the problem to be considered a polynomial. "Poly" means many.
For example, if you divide a polynomial of degree 2 by a polynomial of degree 1, you'll get a result of degree 1. Similarly, you can divide a polynomial of degree 4 by one of degree 2, a polynomial of degree 6 by one of degree 3, etc.
An expression of the second degree can be any kind of expression, the most popular being a quadratic polynomial of the form ax^2 + bx + c.
The degree of a polynomial is the highest exponent in the polynomial.
I will assume that you mean -2xy3+3x2y. Then by "degree" is usually meant the total degree--the maximum sum of exponents of all variables. Here the first term has degree 1+3=4 and the second term has degree 2+1=3, so the degree of the entire expression is 4. It is also a 2nd degree expression in x and a 3rd degree expression in y.
A polynomial is always going to be an algebraic expression, but an algebraic expression doesn't always have to be a polynomial. In another polynomial is a subset of algebraic expression.
A polynomial is always going to be an algebraic expression, but an algebraic expression doesn't always have to be a polynomial. An algebraic expression is an expression with a variable in it, and a polynomial is an expression with multiple terms with variables in it.