Please help me with this but Don't write the answer in handwriting

11:299'11'A ~ 'e'BG 81%- 1. Divide x3 2x2 33x + 90 by X 5, then express the polynomial in a fully factored form. Show an appropriate factoring method (long division, synthetic division, box method). 2. Solve the following polynomial equation. Show all your steps. 6X319X2+11X+ 6:0 3. Determine the remainder when f(x) =x36x2+ 5X+2 is divided by x + 2 4. Solve for x. Use an interval chart x32x2x+2>o 5. Determine the value of k when X3 + kx2 + 2x -3 is divided by (X-'|) and the remainder is 2 6.Determine the following Characteristics of y= - (x-3)5 (x+1 )4 11229BBH "'l'l8'|%l 6.Determine the following characteristics of y= - (x-3)5 (x+1)4 . Show any calculations and/or explain your reasoning. a) Domain b) Range c) Sign of leading coefficient d) Degree e) x-intercept(s) f) y-intercept g) end behavior 7. For each of the following polynomial functions, write the equation of a different polynomial function that has the same key characteristics (degree, x-intercepts, end behavior). Explain your thinking. 1} 11229BE~ '51}. 81%- 7. For each of the following polynomial functions, write the equation of a different polynomial function that has the same key characteristics (degree, x-intercepts, end behavior). Explain your thinking. 4) \f\f11:29 P . Cut alll 81%% - IU - U -U -4 4 -40 8. Given the following graph of a function f(x), determine when f(x) >0 Make reference to key characteristics to support your solution. -2 -1 -1