Please explain how to do those 7 question

1) Given the polynomial y = -2(x + 1)?(x -2)(x - 3)?, determine the following without graphing. a) Describe the end behaviour of the graph of the function. b) Determine the number of x-intercepts of the function. c) Determine the y-intercept of the fun 2) Determine the quotient using long division P(x) = x* - 3x + 2x2 + 55x - 11 by x+ 3 Express in the form P(x) = Q(x) + 2 x -a R x - a and identify any restrictions on the variable. 3) Use the remainder theorem to determine the remainder when the polynomial is divided by x + 2. 7x5 +5x4 + 23x2+8 4) When 4x - 8x - 20 is divided by x + k, the remainder is 12. Determine the value(s) of k. 5) Factor completely a) x' #27x +10 b ) 4x - 8x2 + x +3 c) x - 9x5 - x + 9x4 6) The volume of a box is represented by the function V(x) =x + 6x + 11x + 6. The height of the box is x + 2. If the area of the base is 24 cm, determine the height of the box. 7) Without using a graphing calculator, determine the following for f (x) = -x* + 19x7 + 6x -72 a) the zeros of the function b) the y-intercept c) the intervals where the function is positive and the intervals where it is negative d) sketch the graph