Given a polynomial with an even degree and a negative leading coefficient, select all of the following that are true. a. As x → ∞, y → ∞ b. As x → ∞, y → -∞ c. There can be at most n-1 zeros of the polynomial d. There can be at most n extrema of the polynomial e. There can be at least n-1 extrema of the polynomial f. None of these

Find all the possible rational zeros of the following polynomial: f(x) = 2xª¹ - 5x³+2x+2

(1) For each member of your group record their response to: “ Give an example of a polynomial and an expression involving x that is not a polynomial." (2) A box with no top is to be fashioned from an 18 inch x 24 inch piece of cardboard by cutting out congruent squares from each corner of the cardboard and then folding the resulting tabs. Let x denote the length of the side of the square which is removed from each corner. Determine a polynomial which gives the vol- ume of the box as a function of x. Use a plot of this polynomial to determine the optimal value of x.

Find a polynomial of degree 5, and zeros of-4,-2, 0, 2, and 4 O a. x- 20x + 64x | O b. x+20x+64x OC-20x2- 64x O d. x+20x- 64x e.x-20x- 64x | |