Find a ' number p so that

encaderpwp

encaderpwp

Answered question

2022-04-04

Find a ' number p so that f=3x3+2x25x+1 is divided by x2 in Zp

Answer & Explanation

Drake Huang

Drake Huang

Beginner2022-04-05Added 15 answers

xa divides a polynomial f(x) iff f(a)=0(x2) divides f(x)=3x3+2x25x+1 
f(2)=24+8-10+10((mod p)230(mod p). The only ' for which 23 is 23 itself. So, the answer is 23. Now you can easily factorize 3x3+2x25x+1, since after finding one root, it becomes quadratic which is easy to factorize.

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