Results for polynomial translation from Arabic to English

so consider:formula_21, which can be calculated using polynomial long division.
so consider:formula_21, which can be calculated using polynomial long division.

تترجم كلمة متعددة الحدود، إلى اللغة الإنجليزية على سبيل المثال، بكلمة "polynomial".
for example, over the integers modulo , the derivative of the polynomial is the polynomial .

in this instance it is in fact easy to factor our quartic by treating it as a biquadratic equation; but finding such factorings of a higher degree polynomial can be very difficult.
in this instance it is in fact easy to factor our quartic by treating it as a biquadratic equation; but finding such factorings of a higher degree polynomial can be very difficult.

ومن الطرق الأخرى المُستخدمة في التحكم في كثافة الآحاد استخدام جهاز التشويش كثير الحدود scrambler polynomial على البيانات الخام والذي يقوم بتحويل البيانات إلى شكل شبه عشوائي، ولكن يتم استعادة البيانات الخام مرة أخرى من خلال عكس تأثير عملية التشويش.
another technique used to control ones-density is the use of a scrambler polynomial on the raw data which will tend to turn the raw data stream into a stream that looks pseudo-random, but where the raw stream can be recovered exactly by reversing the effect of the polynomial.

)==== مثال 1: بدون باقي ====let:formula_23using the methods described above, the rational roots of "p"("x") are::formula_24then, the product of ("x" − each root) is:formula_25and "p"("x")/"r"("x")::formula_26hence the factored polynomial is "p"("x") = "r"("x") · 1 = "r"("x")::formula_27==== مثال 2: مع وجود باقي ====let:formula_28using the methods described above, the rational roots of "p"("x") are::formula_29then, the product of ("x" − each root) is:formula_30and "p"("x")/"r"("x"):formula_31as formula_32, the factored polynomial is "p"("x") = "r"("x") · "s"("x")::formula_33to completely factor a given polynomial over c, the complex numbers, we must know all of its roots (and that could include irrational and/or complex numbers).
)====example 1: no remainder====let:formula_23using the methods described above, the rational roots of "p"("x") are::formula_24then, the product of ("x" − each root) is:formula_25and "p"("x")/"r"("x")::formula_26hence the factored polynomial is "p"("x") = "r"("x") · 1 = "r"("x")::formula_27====example 2: with remainder====let:formula_28using the methods described above, the rational roots of "p"("x") are::formula_29then, the product of ("x" − each root) is:formula_30and "p"("x")/"r"("x"):formula_31as formula_32, the factored polynomial is "p"("x") = "r"("x") · "s"("x")::formula_33====factoring over the complexes====to completely factor a given polynomial over c, the complex numbers, we must know all of its roots (and that could include irrational and/or complex numbers).