Computer science

Question : Use Synthetic Division Method to solve 2x^4-15x^3+35x^2-30x+8=0 Solution : To solve the equation 2x^4-15x^3+35x^2-30x+8=0 \[ 2x^4-15x^3+35x^2-30x+8=0 \] (1) Since 2*1^4-15*1^3+35*1^2-30*1+8=2-15+35-30+8=45-45=0 Therefore x =1 is the root of the…

Question : Apply mathematical induction method to prove 1.1!+2.2!+3.3!+….+n.(n+1)!=(n+1)!-1 Answer : Proof by mathematical induction method Let the statement as [P_n:\ 1\cdot1!+2\cdot2!+3\cdot3!+…+n\cdot n!] Base Step : n=1 1.1!=2!-1 =>1=2-1 =>1=1…

Question :  Find greatest common divisor of 1760 and 803 by Euclidean algorithm Solution :  Euclidean Algorithm states that If a > b > 0 and  a = bq +…