Please post direct screenshots of the Maple code :)

Use Maple and consider the cubic polynomial equation f(x)=x344x2+564x1728=0 1. Prove that equation (1) has three real roots, by exhibiting three sign change intervals, one for each root. 2. Denote by 1,2,3 the three real roots of equation (1) In this part you will need to use Vieta's formulae: http://mathworld.wolfram.com/VietasFormulas.html Vieta's formulae allow one to express certain functions of the roots of a polynomial in terms of its coefficients, without having to compute roots. a. Compute the exact values of the sum 1+2+3 and the product 123 b. Compute the exact value of the 2nd elementary symmetric function 12+ 23+13 c. Compute the exact values of the sums 12+22+32 and 13+23+33 d. Compute the exact value of the quantity 121+221+321