Examples of using The polynomial in English and their translations into Tagalog
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Ecclesiastic
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Colloquial
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Computer
The polynomial is cubic.
Prove that the polynomial.
The polynomial can be written as.
To help you solve the polynomial equation.
The polynomial has real coefficients, and What is.
Let be real numbers such that the polynomial.
Find the polynomial with real coefficients such that and for each.
It is known that can be expressed as the polynomial of and.
The polynomial may be written in the form, where and thet 's are constants.
How many distinct real roots does the polynomial have?
Hence, the polynomial A(x) has a linear factor, i. e. it has a rational root.
For some real number, the polynomial is divisible by.
Prove that there exist complex numbers such that divides the polynomial.
When the polynomial is divided by the polynomial, the remainder is.
With a polynomial and an integer, because the polynomial has integer coëfficients.
Consider the polynomial, where, is a nonzero polynomial, and a natural number.
Now we can prove the assertion by induction on the degree of the polynomial.
Even more, the value of the polynomial in each such number is a multiple of. Finish!
There are an infinite number of such numbers andthus in at least one of these numbers the polynomial does not vanish.
Prove that the polynomial cannot be represented as a product of two integer polynomials. .
Find, with proof,all triples of real numbers such that all four roots of the polynomial are positive integers.
Because the polynomial has integer coëfficients, have to be integers too, and because b has to be an integer, the LHS is a product of integers.
Thus, if all roots of a polynomial have modulus at most 1,so does the derivative of the polynomial.
Now this equation is equivalent to, since the roots of the polynomial two lines above are, because that's what we substituted.
A Show that you can divide an angle to three equalparts using compass and ruler if and only if the polynomial is reducible over.
Also, since the integer is defined, it follows that the polynomial B(x) has a coefficient.In other words, the polynomial B(x) has degree.
Given the polynomial with integer coefficients, and given also that there exist four distinct integers,, and such that show that there is no integer such that.
If, then it follows, since the integer is defined, that the polynomial B(x) has a coefficient.In other words, the polynomial B(x) has degree n.
Suppose that for every two different elements of, and, there exist not necessarily distinct integers,, belonging to, such that andare the roots of the polynomial.
To evaluate, note that it equals times the coefficients of in the polynomial by the same multisection formula, so it equals.