16.-Linear-Algebra-by-Kenneth-Hoffman · Problem 4.4.2

Polynomials

Mathematics — Linear Algebra · greatest-common-divisor-polynomials

Problem

Find the g.c.d. of each of the following pairs of polynomials ((a)) 2x5−x3−3x2−6x+42x^5 - x^3 - 3x^2 - 6x + 4,   x4+x3−x2−2x−2\;x^4 + x^3 - x^2 - 2x - 2; ((b)) 3x4+8x2−33x^4 + 8x^2 - 3,   x3+2x2+3x+6\;x^3 + 2x^2 + 3x + 6; ((c)) x4−2x3−2x2−2x−3x^4 - 2x^3 - 2x^2 - 2x - 3,   x3+6x2+7x+1\;x^3 + 6x^2 + 7x + 1.

Related theory

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