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What is the least degree a polynomial could have with an imaginary root with a multiplicity of three?
Wiki User
∙ 9y ago
Since the question did not specify a rational polynomial, the answer is a polynomial of degree 3.
Wiki User
∙ 9y ago
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Why is the degree of the zero polynomial undefined?
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.
How do you find the perimeter of each iteration of a tessellation?
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.
What is the degree of polynomial of 2x2y-4x5y7 plus 14xy plus 3?
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.
Can you say polynomial to proper fraction?
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".
What is next in the series 19 5 17 21 5 14 3?
You could try -492 which is the result of fitting a polynomial of degree 6. un = (-2275n6 + 50400n5 - 429250n4 + 1761750n3 - 3573475n2 + 3281850n - 918000)/9000
How many real roots will a 3rd degree polynomial have?
A third degree polynomial could have one or three real roots.
Is 21 a polynomial?
Not in the normal sense but it could be considered a degenerate polynomial of degree 0.
What degree is a polynomial?
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.
A fourth degree polynomial that has five terms could have five linear factors.?
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.
Why is the degree of the zero polynomial undefined?
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.
Can you find a third degree polynomial equation with rational coefficients that has the given numbers as roots 3i and 7?
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
How do you find the perimeter of each iteration of a tessellation?
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.
What is the opposite of imaginary?
The opposite of imaginary could be real, actual, or existing.
What is the degree of polynomial of 2x2y-4x5y7 plus 14xy plus 3?
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.
What is the opposite of a linear relationship?
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.
Can you say polynomial to proper fraction?
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".
Which of these terms could be an imaginary disease?
senoritis
