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What is a polynomial with a degree of three?
The degree of a polynomial refers to the largest exponent in the function for that polynomial. A degree 3 polynomial will have 3 as the largest exponent, but may also have smaller exponents. Both x^3 and x^3-x²+x-1 are degree three polynomials since the largest exponent is 4. The polynomial x^4+x^3 would not be degree three however because even though there is an exponent of 3, there is a higher exponent also present (in this case, 4).
What does the word degree refer to in a polynomial?
The Degree (for a polynomial with one variable, like x) is the largest exponent of that variable.
What does it mean when an exponent is a negative number?
A negative exponent is the reciprocal of the corresponding positive exponent. 102 = 100 10-2 = 1/100
Is the square root of x plus 2 a polynomial?
No. by definition, the polynomial should contain an integer as exponent and square root 1/2 is not an integer.
What is the meaning of negative exponent?
A negative exponent implies a reciprocal.Thus x^-a = 1/x^a or, equivalently, (1/x)^a
When is an algebraic expression considered as a non-polynomial expression?
An expression is non polynomial if it has : negative exponent fractional exponent variable exponent in the radicand
If the coefficient of the expression ax is positive and the exponent is negative the expression will be a polynomial true or false?
False. A polynomial must have non-negative integer exponents. If the exponent is negative, the expression cannot be classified as a polynomial, regardless of the positivity of the coefficient.
Describe a polynomial in one variable?
A polynomial has 2 or more variables. It can also have a negative exponent and a fractional exponent. It's different from a monomial.****BrandonW****
If the coefficient of the expression axn is a fraction and the exponent is positive will the expression be a polynomial?
Not necessarily. Every exponent in the exponent must be a non-negative integer. This is not what you have specified. For example, if n = 3.5, it is not a term in a polynomial expression.
If the coefficient of the expression axn is negative and the exponent is positive will the expression be a polynomial?
true
What it the largest exponent of a polynomial?
the largest exponent of a polynomial is 2 good luck on NovaNet peoples
If the coefficient of the expression ax is in fraction and the exponent is positive the expression will be a polynomial?
Not necessarily. If the exponent is not an integer then it is not a polynomial.
What is the highest exponent in a polynomial?
That varies from polynomial to polynomial. Whatever the highest exponent is is called the "degree", so a quadratic like x2 + 2x + 8 has degree 2.
What is the meaning degree of polynomial?
The degree of a polynomial is the highest exponent on any independent variable in the polynomial.
Can a polynomial have a variable exponent?
No. An expression can have a variable exponent (for instance, 2 to the power x, or x to the power y), but that is no longer a polynomial.
What is the degree of the polynomial 7x 5?
The degree of a polynomial is determined by the highest exponent of the variable in the expression. In the polynomial (7x^5), the highest exponent of (x) is 5. Therefore, the degree of the polynomial (7x^5) is 5.
The largest exponent which is shown in a polynomial.?
The largest exponent in a polynomial is referred to as the polynomial's degree. It indicates the highest power of the variable in the expression. For example, in the polynomial (4x^3 + 2x^2 - x + 5), the degree is 3, as the term (4x^3) has the highest exponent. The degree of a polynomial provides insight into its behavior and the number of possible roots.
