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Since the question did not specify a rational polynomial, the answer is a polynomial of degree 3.

Q: What is the least degree a polynomial could have with an imaginary root with a multiplicity of three?

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Good question! The zero polynomial "0" could result from any of the following: (0), (0)x, (0)x2, (0)x3, etc. Since you don't know which it came from, you can't say what the degree is.

You need to find the perimeter at the first few iterations and find out what the sequence is. It could be an arithmetic sequence or a polynomial of a higher degree: you need to find out the generating polynomial. Then substitute the iteration number in place of the variable in this polynomial.

Due to shortcomings of the browser, I regret that it is impossible to tell. For example, the first term could be 2x times 2y or 2x-squared times y. Some educated guesswork suggests degree 12 - from the second term, but I could be wrong.

No. A polynomial is two or more numbers connected with plus or minus signs.A fraction is just a single number.I guess you could call a fraction a "monomial" if you want to, but definitely nota "polynomial".

You could try -492 which is the result of fitting a polynomial of degree 6. un = (-2275n6 + 50400n5 - 429250n4 + 1761750n3 - 3573475n2 + 3281850n - 918000)/9000

Related questions

A third degree polynomial could have one or three real roots.

Not in the normal sense but it could be considered a degenerate polynomial of degree 0.

The degree of a polynomial is the highest degree of its terms. The degree of a term is the sum of the exponents of the variables that appear in it.

No, if it is of degree 4, it can have 4 linear factors, regardless of the number of terms.For example, x squared + 5x + 6 = (x+3)(x+2). The unfactored polynomial has three terms, and is of degree 2. Similarly, you can multiply four linear terms together; and you will get a polynomial of degree 4, which has up to 5 terms.

Good question! The zero polynomial "0" could result from any of the following: (0), (0)x, (0)x2, (0)x3, etc. Since you don't know which it came from, you can't say what the degree is.

Yes, easily. Even though the question did not ask what the polynomial was, only if I could find it, here is how you would find the polynomial: Since the coefficients are rational, the complex (or imaginary) roots must form a conjugate pair. That is to say, the two complex roots are + 3i and -3i. The third root is 7. So the polynomial, in factorised form, is (x - 3i)(x + 3i)(x - 7) = (x2 + 9)(x - 7) = x3 - 7x2 + 9x - 63

You need to find the perimeter at the first few iterations and find out what the sequence is. It could be an arithmetic sequence or a polynomial of a higher degree: you need to find out the generating polynomial. Then substitute the iteration number in place of the variable in this polynomial.

The opposite of imaginary could be real, actual, or existing.

Due to shortcomings of the browser, I regret that it is impossible to tell. For example, the first term could be 2x times 2y or 2x-squared times y. Some educated guesswork suggests degree 12 - from the second term, but I could be wrong.

It is non-linear relationship. This could be a polynomial relationship where the polynomial is of order > 1. Or it could be any other algebraic, trigonometric, exponential, logarithmic, hyperbolic, etc relationship. It could be a step relationship, or could even be a random mapping.

No. A polynomial is two or more numbers connected with plus or minus signs.A fraction is just a single number.I guess you could call a fraction a "monomial" if you want to, but definitely nota "polynomial".

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