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The standard form of a polynomial in x is

a(n)*x^n + a(n-1)*x^(n-1) + ... + a(1)*x + a(0) = 0

where the a(i) are constants, for i = 0, 1, 2, ..., n.



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9y ago
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9y ago

It is p(x) = a(n)*x^n + a(n-1)*x^(n-1) + ... + a(1)*x + a(0)where n is an integer and the a(i) ae constants (coefficients). Normally they would be indexed using a suffix, but the browser used by this site does not permit us to use suffices.

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Q: When is a polynomial in one variable in standard form?
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How do you put a polynomial in standard form?

For a polynomial in a single variable you start with the term containing the highest power of that variable and then follow with the next highest power and so on. For polynomials is several variables, you first group them by the sum of the powers of all the variables (remember that y is y^1). Then, you order each group by the power of one variable, then another variable and so on.


What is the polynomial of 2x in standard form?

2x is just 2x and it is not a polynomial. This is a monomial because it just has one term. a polynomial is four or more terms.


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 to identify polynomial?

It is an expression with one variable, which is a linear combination of integral powers of that variable.In simpler words, a polynomial in a variable x consists of a sum of a number of terms of the form axn where a is a number, called the coefficient and n is a positive integer.


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.


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.


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 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


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.


What is the degree of a polynomial having one term and single variable?

It depends on the power to which the single variable is raised in that one term.