Solve the following problems, showing all calculations and steps.Problem 1: Let f(x)=x3-3x2+4.If the roots off(x)=0 are ,,, find the value of2+2+2.Problem 2: Let g(x)=x2-5x+6.If the roots ofg(x)=0 are p and q, find the value ofp3+q3.Problem 3: Let h(x)=x4-2x3+3x2-4x+1.If the roots ofh(x)=0 are a,b,c,d, findthe value ofa+b+c+d.Problem 4: Let f(x)=2x3+x2-7x+3.If the roots off(x)=0 are ,,, find the valueof.Problem 5: Let p(x)=x2+4x-12.If the roots ofp(x)=0 are m and n, find the valueof(m-n)2.Problem 6: Let q(x)=x4-5x2+4.If the roots ofq(x)=0 are r,s,t,u, find the value ofr2+s2+t2+u2.Problem 7: Let r(x)=x3-6x2+11x-6.If the roots ofr(x)=0 are ,,, find the valueof1+1+1.Problem 8: Let s(x)=3x2-2x-8.If the roots ofs(x)=0 are p and q, find the value ofp2q+pq2.Problem 9: Let t(x)=x5-x4+2x3-3x2+x-1.If the roots oft(x)=0 are a,b,c,d,e,find the value of abcde.Problem 10: Let u(x)=x3+2x2-5x+1.If the roots ofu(x)=0 are ,,, find the valueof3+3+3.