At least one of the answers above is NOT correct. Let f(z) = 2z¹ +22³ + 37² +2z + 1 and g(z) = 21³ + 4z²+ 3z + 1. Compute the greatest common divisor of f(z) and g(z) in 1. Rz]: x^2-1 2. Z/3Z[z]: 1 3. Z/5Zz]: x^2+x+1 Remember that the gcd is always monic. For ZnZ[z], write the coefficients in the range 0 ton-1.

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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At least one of the answers above is NOT correct.
Let f(x) = 2x¹ +21³ +3x²+2z + 1 and g(x) = 2x³+4x² + 3x + 1. Compute the greatest common divisor of f(x) and g(z) in
1. R[z]: x^2-1
2. Z/3Z[1]: 1
3. Z/5Z[x]: x^2+x+1
Remember that the gcd is always monic. For ZnZ[z], write the coefficients in the range 0 to n - 1.
Transcribed Image Text:All answers are wrong At least one of the answers above is NOT correct. Let f(x) = 2x¹ +21³ +3x²+2z + 1 and g(x) = 2x³+4x² + 3x + 1. Compute the greatest common divisor of f(x) and g(z) in 1. R[z]: x^2-1 2. Z/3Z[1]: 1 3. Z/5Z[x]: x^2+x+1 Remember that the gcd is always monic. For ZnZ[z], write the coefficients in the range 0 to n - 1.
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