l 1. Anna made an error in determining the polynomial equation of smallest degree whose roots are 4. 2= i , and 2. Review Anna's work, identify the error and correct all work from that point tonvard that is affected by this error. Include at least one sentence explaining her error. Use proper mathematical vocabulary, appropriately. [x+4)[x+2)[2x+l)[x2)= D {xi4)(x1+9x+4}=o x4+9x3+4x14x135x15= o x4+9x335x15=o Answer 2. Andrew made an error in determining the polynomial equation of smallest degree whose roots are 3, 2+2f and 235. Review Andrew's worlr, identify the error and correct all worlr from that point tonvard that is affected by this error. Include at least one sentence explaining his error. Use proper mathematical vocabulary, appropriately. [x3)[x+2+2i}[x+22i} = D [x3)[x1+4x+c}= o | 3:3 +x1 4x24= 0 Answer 3. Stanley analyzes the table of values for a polynomial function. He has determined through applying Descartes\" rule of sign that there is 1 negative real zero, and either 1 or 3 positive real zeros. He has also determined that the upper bound of the function is 3. a. 1|.I"'."hat is the degree of the pelynnmial function? How can you tell? b. How many positive real zeree dues the function have? How can you tell? 4. Manu determines the roots of a polynomial equation p[x} = D by applying the theorems he knows. He organizes the results of these theorems. From the fundamental theorem of algebra, Manu knows there are 3 roots to the equation. From Descartes\" Me of sign, lulanu nds no sign changes inp {x} and 3 sign changes in p [x}. H i: = i4: : i1 CL t} as the list of possible rational +_il=iE 4 2 The rational root theorem yields i%=_;_ roots. The lower bound of the polynomial is. The upper bound ofthe polynomial is 1. What values in Manu's list of rational roots should he try in synthetic division in light of these ndings