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Question
Find the G.C.D. of the given polynomials
x4 + 3x3 – x – 3, x3 + x2 – 5x + 3
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Solution
p(x) = x4 + 3x3 – x – 3
g(x) = x3 + x2 – 5x + 3
3x2 + 6x – 9 = 3(x2 + 2x – 3)
Now dividing g(x) = x3 + x2 – 5x + 3
by the new remainder ...(leaving the constant 3)
we get x2 + 2x – 3
G.C.F. = x2 + 2x – 3
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