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Q: What is the maximum number of x-intercepts that a 7th degree polynomial might have?

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the degree of polynomial is determined by the highest exponent its variable has.

The answer depends on where, in the sequence, the missing number is meant to go.Furthermore, whatever number you choose and wherever in the sequence it is meant to be, it is always possible to find a polynomial of degree 5 that will go through all five points given in the question and your chosen one.Using a polynomial of degree 4, the next number is -218.The answer depends on where, in the sequence, the missing number is meant to go.Furthermore, whatever number you choose and wherever in the sequence it is meant to be, it is always possible to find a polynomial of degree 5 that will go through all five points given in the question and your chosen one.Using a polynomial of degree 4, the next number is -218.The answer depends on where, in the sequence, the missing number is meant to go.Furthermore, whatever number you choose and wherever in the sequence it is meant to be, it is always possible to find a polynomial of degree 5 that will go through all five points given in the question and your chosen one.Using a polynomial of degree 4, the next number is -218.The answer depends on where, in the sequence, the missing number is meant to go.Furthermore, whatever number you choose and wherever in the sequence it is meant to be, it is always possible to find a polynomial of degree 5 that will go through all five points given in the question and your chosen one.Using a polynomial of degree 4, the next number is -218.

I think that there is not .

Yes. A monomial is a zero-degree polynomial. Although the prefix poly means "several" the definition allows for any finite number of terms.

It depends on which number you would like to be the next in the sequence. Choose any real number and it is possible to find a polynomial of degree 6 that will generate the above six numbers and the selected seventh.Using a polynomial of degree 5:Un = (44n5 - 695n4 + 4130n3 - 11305n2 + 14066n - 6120)/60 for n = 1, 2, 3, ...forces the next number to be 430.It depends on which number you would like to be the next in the sequence. Choose any real number and it is possible to find a polynomial of degree 6 that will generate the above six numbers and the selected seventh.Using a polynomial of degree 5:Un = (44n5 - 695n4 + 4130n3 - 11305n2 + 14066n - 6120)/60 for n = 1, 2, 3, ...forces the next number to be 430.It depends on which number you would like to be the next in the sequence. Choose any real number and it is possible to find a polynomial of degree 6 that will generate the above six numbers and the selected seventh.Using a polynomial of degree 5:Un = (44n5 - 695n4 + 4130n3 - 11305n2 + 14066n - 6120)/60 for n = 1, 2, 3, ...forces the next number to be 430.It depends on which number you would like to be the next in the sequence. Choose any real number and it is possible to find a polynomial of degree 6 that will generate the above six numbers and the selected seventh.Using a polynomial of degree 5:Un = (44n5 - 695n4 + 4130n3 - 11305n2 + 14066n - 6120)/60 for n = 1, 2, 3, ...forces the next number to be 430.

Related questions

The degree is equal to the maximum number of times the graph can cross a horizontal line.

a polynomial of degree...............is called a cubic polynomial

no...

13 is not a polynomial.

In answering this question it is important that the roots are counted along with their multiplicity. Thus a double root is counted as two roots, and so on. The degree of a polynomial is exactly the same as the number of roots that it has in the complex field. If the polynomial has real coefficients, then a polynomial with an odd degree has an odd number of roots up to the degree, while a polynomial of even degree has an even number of roots up to the degree. The difference between the degree and the number of roots is the number of complex roots which come as complex conjugate pairs.

It is the number (coefficient) that belongs to the variable of the highest degree in a polynomial.

the degree of polynomial is determined by the highest exponent its variable has.

linear monomial

1

Sort of... but not entirely. Assuming the polynomial's coefficients are real, the polynomial either has as many real roots as its degree, or an even number less. Thus, a polynomial of degree 4 can have 4, 2, or 0 real roots; while a polynomial of degree 5 has either 5, 3, or 1 real roots. So, polynomial of odd degree (with real coefficients) will always have at least one real root. For a polynomial of even degree, this is not guaranteed. (In case you are interested about the reason for the rule stated above: this is related to the fact that any complex roots in such a polynomial occur in conjugate pairs; for example: if 5 + 2i is a root, then 5 - 2i is also a root.)

First look at the degree of each term: this is the power of the variable. The highest such number, from all the terms in the polynomial is the degree of the polynomial. Thus x2 + 1/7*x + 3 has degree 2. x + 7 - 2x3 + 0.8x5 has degree 5.

In the complex field, a polynomial of degree n (the highest power of the variable) has n roots. Some of these roots may be multiple roots. However, if the domain is the real numbers (or a subset) then there is no easy way. The degree only gives the maximum number of roots - there may be no real root. For example x2 + 1 = 0.