polynomial-answers

Solutions to the Sample Problems from Unit 6: Polynomials
(click here to return to the problem set)
 * 1) you can use the rational root theorem to get that the factors of 75 are + or - {1,3,5,15,25,75} then use synthetic division. the answer is (x-5)(x+3)(x+5)
 * 2) {±1/3, ±1, ±5, ±5/3}
 * 3) 87 is the leading coefficient. The degree is 4.
 * 4) Use Wolfram Alpha to see each graph (NW)
 * 5) 3(x+1)(x-1)(x-4) the graph starts in the bottom left quadrant, goes through -1 like a line, comes back down through 1 like a line, then comes back up through 4 like a line (ending in top right quadrant)
 * 6) b=-7 (I think b = **-11**) (no I got -**7)**
 * 7) x=0 or x=2 or x= -1
 * 8) the graph should look like a "w" the graph factors to (x+2)(x-2)(x-3)(x+1) so its 4 lines since all the zeros are ^1
 * 1) the graph should look like a "w" the graph factors to (x+2)(x-2)(x-3)(x+1) so its 4 lines since all the zeros are ^1