0
An expression of polynomial degree 1 is a linear polynomial, typically written in the form ( ax + b ), where ( a ) and ( b ) are constants, and ( a \neq 0 ). The highest power of the variable ( x ) in this expression is 1, indicating that the graph of this polynomial is a straight line. Examples include ( 2x + 3 ) and ( -5x - 1 ).
What else can I help you with?
What is A polynomial of degree 1 called?
It is a linear expression.
What is the degree of the polynomial in the expression x5 plus 1 - 3x4 plus 3x9 - 2x?
The x^5 at the beginning makes the degree of the polynomial 5.
What is the degree of the polynomial 7x plus 5?
The degree of the polynomial (7x + 5) is 1. This is because the highest exponent of the variable (x) in the expression is 1. The term (7x) is the only term that contributes to the degree, while (5) is a constant term with a degree of 0.
How do you identify the degree on a polynomial?
The degree of a polynomial is identified by determining the highest exponent of the variable in the polynomial's expression. For example, in the polynomial (2x^3 + 4x^2 - x + 5), the highest exponent is 3, so the degree is 3. If the polynomial is a constant (like 5), its degree is 0, and if it's the zero polynomial, it's often considered to have no degree.
True or false An expression must have a monomial of degree 1 or higher to be a polynomial?
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.
What is A polynomial of degree 1 called?
It is a linear expression.
What is the degree of the polynomial in the expression x5 plus 1 - 3x4 plus 3x9 - 2x?
The x^5 at the beginning makes the degree of the polynomial 5.
What is an example of an expression that is not a polynomial?
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) ======================================
Is x2 plus 1 a expression are polynomial?
Both - a polynomial expression, if you like.
How do you identify the degree on a polynomial?
The degree of a polynomial is identified by determining the highest exponent of the variable in the polynomial's expression. For example, in the polynomial (2x^3 + 4x^2 - x + 5), the highest exponent is 3, so the degree is 3. If the polynomial is a constant (like 5), its degree is 0, and if it's the zero polynomial, it's often considered to have no degree.
An expression must have a monomial of degree 2 or higher to be a polynomial?
False
What are two polynomial functions whose quotient will have the same degree as the divisor?
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.
True or false An expression must have a monomial of degree 1 or higher to be a polynomial?
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.
What is an expression of second degree?
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.
What is the degree of a polynomial having more than 1 term but with different variables?
The degree of a polynomial is the highest exponent in the polynomial.
What is the degree of the polynomial -2xy3 plus 3x2y?
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.
Differentiate of polynomial and algebraic expression?
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.
