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Advanced Functions Chapter 3 Portfolio Assignment(page 1) [4] If f(x) = 2x3 + x2+ 7x - 1 fill in the blanks below: a) As x - -0of (x ) - c) As x- 1f(x) - b) As x = 0 f (x) - d) As x -+ 20 f (x) -+ Create a polynomial function in factored form so that: a) [1] a(x) has exactly 3 real distinct roots and approaches -co as x approaches -co b) [1] b(x) has 2 coincidental roots, as well as exactly one other real root, and approaches -co as x approaches -co c) [1] c(x) is a cubic that has exactly one real root, (i.e. two complex roots). d) [1] d(x) is any polynomial function that decreases on exactly two intervals, and increases on exactly one interval. 3 [1] If 2x - 1is a factor of 12x3 + kx2 - x - 7 what must the value of k be? 4 [4]Factor each fully b) 8x3- 125 a) x3+ 64