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What is the polynomial and degree of 7x3 6x2 -2?
The polynomial 7x3 + 6x2 - 2 has a degree of 3, making it cubic.
How do you find a degree of a graphed polynomial?
Factors
Is 2 a polynomial?
Yes, f(x) = 2 is a polynomial of degree 0 (because there are no x terms).
What is the technical name for a first degree polynomial?
A binomial.
What is a polynomial equation of degree two called?
quadratic
How is the degree of a polynomial determined?
The Degree (for a polynomial with one variable) is the largest exponent of that variable.
What is the smallest degree a polynomial can have?
The smallest is 0: the polynomial p(x) = 3, for example.
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 is The largest exponent which is shown in a polynomial is?
The largest exponent in a polynomial is referred to as its degree. The degree of a polynomial indicates the highest power of the variable present in the expression. For example, in the polynomial (3x^4 + 2x^3 - x + 7), the degree is 4, corresponding to the term (3x^4). The degree plays a crucial role in determining the polynomial's behavior and the number of possible roots.
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.
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).
How can we say that a polynomials is written in descending and ascending order?
A polynomial is written in descending order when its terms are arranged from the highest degree to the lowest degree. For example, (4x^3 + 2x^2 - x + 5) is in descending order. Conversely, a polynomial is in ascending order when its terms are organized from the lowest degree to the highest degree, such as (5 - x + 2x^2 + 4x^3). In both cases, the coefficients of each term remain associated with their respective powers of the variable.
What is the first term of each polynomial?
The first term of a polynomial is the term with the highest degree, typically written in standard form. For example, in the polynomial (3x^4 + 2x^3 - x + 5), the first term is (3x^4). If a polynomial has multiple terms, the first term is determined by the term with the largest exponent of the variable. If the polynomial is expressed in descending order, the first term is simply the first term listed.
What is the Factor the polynomial expression. Write each factor as a polynomial in descending order.?
To factor a polynomial expression, you identify common factors among the terms and express the polynomial as a product of simpler polynomials. For example, consider the polynomial ( x^2 - 5x + 6 ); it factors into ( (x - 2)(x - 3) ). Each factor is written in descending order, starting with the highest degree term. The specific steps to factor will depend on the polynomial you are working with.
How do you write each factor as a polynomial in descending order?
To write each factor as a polynomial in descending order, first identify the terms of the polynomial and arrange them based on the degree of each term, starting with the highest degree. For example, if you have factors like (x^2 + 3x - 5) and (2x - 1), you would express each factor individually, ensuring that the term with the highest exponent comes first. Finally, combine all terms, maintaining the descending order for clarity and consistency.
What degree of polynomial will be produced by multiplying a third degree polynomial and a fourth degree polynomial?
seventh degree polynomial x3 times x4 = x7
What is the degree of the polynomial 2st4 plus s2t2 - 9s5t plus 21?
2st4 + s2t2 - 9s5t + 21 The degree of a polynomial with more than one variable is the largest sum of the powers in any single term. So the degree of the given polynomial is 6 (-9s5t1; 5 + 1).
