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A polynomial in one variable is an algebraic expression that consists of terms, each made up of a constant coefficient multiplied by a non-negative integer power of a single variable. It can be expressed in the form ( P(x) = a_n x^n + a_{n-1} x^{n-1} + \ldots + a_1 x + a_0 ), where ( a_n, a_{n-1}, \ldots, a_0 ) are constants (coefficients), ( x ) is the variable, and ( n ) is a non-negative integer representing the highest power of the variable. Polynomials can be classified by their degree, which is determined by the highest exponent of the variable present in the expression.
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What does it mean to solve a polynomial?
Find values of the variable for which the value of the polynomial is zero.
How is the degree of a polynomial determined?
The Degree (for a polynomial with one variable) is the largest exponent of that variable.
How do you find zeros of a polynomial?
If there is one variable. Then put each variable equal to zero and then solve for the other variable.
What is value of polynomial?
The value of a polynomial is determined by that of the variable.
How do you determine the degrees of a given polynomial?
The degree of a polynomial is the highest power that appears in the polynomial. For more than one variable, you must add the powers for each variable, for example, a3b2 is of degree 3 + 2 = 5.
What does it mean to solve a polynomial?
Find values of the variable for which the value of the polynomial is zero.
How is the degree of a polynomial determined?
The Degree (for a polynomial with one variable) is the largest exponent of that variable.
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.
How do you find zeros of a polynomial?
If there is one variable. Then put each variable equal to zero and then solve for the other variable.
What is value of polynomial?
The value of a polynomial is determined by that of the variable.
What best describes a root of a polynomial?
A value of the variable when the polynomial has a value of 0. Equivalently, the value of the variable when the graph of the polynomial intersects the variable axis (usually the x-axis).
How do you determine the degrees of a given polynomial?
The degree of a polynomial is the highest power that appears in the polynomial. For more than one variable, you must add the powers for each variable, for example, a3b2 is of degree 3 + 2 = 5.
What is a monomial or sum of monomials?
a single polynomial it only has one variable
A polynomial is considered to be quadratic if it contains what?
more than one variable
When can you say that the term is a term of polynomials?
If a term consists of one or more of: a numerical coefficientnon-negative integer exponents of variable(s),then it is a term of a polynomial. If a term consists of one or more of: a numerical coefficientnon-negative integer exponents of variable(s),then it is a term of a polynomial. If a term consists of one or more of: a numerical coefficientnon-negative integer exponents of variable(s),then it is a term of a polynomial. If a term consists of one or more of: a numerical coefficientnon-negative integer exponents of variable(s),then it is a term of a polynomial.
What is the difference in evaluating a polynomial and solving a polynomial?
Evaluating a polynomial is finding the value of the polynomial for a given value of the variable, usually denoted by x. Solving a polynomial equation is finding the value of the variable, x, for which the polynomial equation is true.
Is 1 a polynomial?
Yes any constant or variable is a polynomial. To be most precise, 1 is a monomial meaning it has one term.
