please I am stuck these question so help me with clear answers please appreaciated

Find the vertical asymptotes. if any, and the value of x corresponding to holes. if any, of the graph of the following rational function. x10 x2100 f(x) : f ..... \\ Select the correct choice below and, if necessary, ll in the answer box to complete your choice. (Type an integer or a fraction. Use a comma to separate answers as needed.) O A- Vertical asymptote(s) at x = . There are no holes. O 3- There are no vertical asymptotes but there is (are) hole(s) corresponding to x = O 0- Vertical asymptote(s) at x = and hole(s} corresponding to x = O D. There are no discontinuities. Find the vertical asymptotes, if any, and the values of x corresponding to holes, if any, of the graph of the rational function hm: x(x+ 1) f ..... \\ Select the correct choice below and, if necessary, ll in the answer box to complete your choice, (Type an equation, Use commas to separate answers as needed} O A. The vertical asymptote(s) is(are} _ There are no holes. B. There are no vertical asymptotes but there is(are) h0|e(s) corresponding to O c_ The vertical asymptote(s) is(are} and h0le(s} corresponding to O D. There are no discontinuities. Find the horizontal asymptote, if any, of the graph of the rational function. 32::2 8x2 +9 six}: Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The horizontal asymptote is |:. (Type an equation.) 0 5_ There is no hon'zontal asymptote. a. Find the slant asymptote 0f the graph of the rational function. h, Follow the sevenstep strategy and use the slant asymptote to graph the rational function, x3+1 x2+7x f(x) = a, Select the correct choice below and, it necessary, till in the answer box to complete the choice, O A- The equation of the slant asymptote is (Type an equation) O B. There is no slant asymptote, Divide using long division. State the quotient, q(x), and the remainder, r(x}_ 4x3 9x2 +5x+8 4x2 +3x+7 4x39x2+5x+8 : + 4)~22+3)(+ir 4x2+3x+7 (Simplify your answers. Do not factor. Use integers 0r fractions for any numbers in the expressions.) Use the Rational Zero Theorem to list all possible rational zeros for the given function. =3x4+8x3+16x2+2x6 Choose the answer below that lists all possible rational zeros. Ok 11 1111 33 11 w 1"=22'3331'22 OR 1111 11 1,1, 2.2, 3.3, 6,6, 2.2. 3.3. 6'6 C)Q 11 22 33 66 11 22 \""""33'33 o. 11 11 11 22 33 1,1, 2.2, 3.3, 6,6, 2,2, 6.6. 3.3. 3,3, 2,2 Given the equation x4 + 4x3 3x2 16x 4 : 0, complete the following. a. List all possible rational roots. b. Use synthetic division to test several possible rational roots in order to identify one actual root. c. Use the root from part (b) to solve the equation. a. List all rational roots that are possible according to the Rational Zero Theorem. D (Use commas to separate answers as needed.)