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If two or more factors of a polynomial are identical, then the polynomial is a multiple of the square of this factor. The multiple factor is also a factor of the polynomial's derivative (with respect to any of the variables, if several). For univariate polynomials, multiple factors are equivalent to multiple roots (over a suitable extension field).
The polynomial x 2 + cx + d, where a + b = c and ab = d, can be factorized into (x + a)(x + b).. In mathematics, factorization (or factorisation, see English spelling differences) or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind.
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Fantasy football Week 13 cheat sheet: PPR rankings, sleepers. Steve Gardner, USA TODAY. Updated December 1, 2024 at 11:13 AM.
Polynomial factoring algorithms use basic polynomial operations such as products, divisions, gcd, powers of one polynomial modulo another, etc. A multiplication of two polynomials of degree at most n can be done in O ( n 2 ) operations in F q using "classical" arithmetic, or in O ( n log( n ) log(log( n )) ) operations in F q using "fast ...
Fantasy football Week 15 cheat sheet: PPR rankings, sleepers. Steve Gardner, USA TODAY. Updated December 15, 2024 at 11:48 AM. Fantasy football season continues, but only for the fortunate few. So ...
Cooking spray, for the baking sheet. 2 lb. Brussels sprouts, trimmed and halved. 1/4 c. olive oil. 3 tbsp. balsamic vinegar. 2 tbsp. packed light brown sugar. 2 tbsp. country dijon mustard. 2 tbsp.
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