The greatest common divisor of two polynomials p(x) and q(x) is a polynomial d (x) of highest degree that divides both p(x) and q(x).
Define
p(x) = 18x7 -9x5 +36x4 +4x3 -16x2 + 19x + 12 and
q(x) = 15x5 -9x4 +11x3 +17x2 - 10x + 8, then use Evaluate to
calculate
gcdp(x), q(x)
.
Evaluate
gcdp(x), q(x)
= 3x3 + x + 4
Use the following to verify that 3x3 + x + 4 is indeed a common divisor.
Polynomials + Divide
= 6x4 -5x2 +4x
= 5x2 -3x + 2
Thus,