Tup 14. letg be the group of polynomials under addition with coefficients from z: find the orders of flu) = 7+ 5x + 4, glx) = 4r+8r +6, and flx) + gx) = r+ 3x.

TUP 14. LetG be the group of polynomials under addition with coefficients from Z: Find the orders of flu) = 7+ 5x + 4, glx) = 4r+8r +6, and flx) + gx) = r+ 3x. If h(x) = a,x" + a.- Lx"+ + a, belongs to G, determine lh(x)l given that gcd (a,, a,, .... a,)= 1: gcda a, .. a,) 2: gcd(a,, a,.. a,) 5; and ged(a,. a, a)= 10 0