Algebra II Review

Question 1: Which of these are all of the zeros of x 3 + x 2 – 2x – 2 = 0 1.1, –1 2.–1 3.–1, √2 4.1, √2 5.1, ±√2 6.–1, ±√2

Question 1: Which of these are all of the zeros of x 3 + x 2 – 2x – 2 = 0 1.1, –1 2.–1 3.–1, √2 4.1, √2 5.1, ±√2 6.–1, ±√2

Question 2: Which of these functions is/are zeros of x 3 + 6x 2 + 9x √3 2.2 – √3 3.– 2 + √ Choice 1 and 2 6.None given

Question 2: Which of these functions is/are zeros of x 3 + 6x 2 + 9x √3 2.2 – √3 3.– 2 + √ Choice 1 and 2 6.None given

Question 3: Which of these is/are factors of 4x 3 – 8x 2 – x + 2? 1.(x + 2) 2.(x – 3) 3.(2x + 3) 4.(2x – 1) 5.(x – 1) 6.None given

Question 3: Which of these is/are factors of 4x 3 – 8x 2 – x + 2? 1.(x + 2) 2.(x – 3) 3.(2x + 3) 4.(2x – 1) 5.(x – 1) 6.None given

Question 4: V=lwh –4 5.–2 6.Not here A mover is measuring a box to store in his mover truck. The width is 2 in less than the length, height is 5 in greater than the length, and the volume of the box is 24 cubic in. What is its length?

Question 4: V=lwh A mover is measuring a box to store in his mover truck. The width is 2 in less than the length, height is 5 in greater than the length, and the volume of the box is 24 cubic in. What is its length? –4 5.–2 6.Not here

Question 5: What is the polynomial function of i, –1, and 0 1.x 3 + x 2 + x x 4 + x 3 + x 2 + x 3.x 3 – x 2 – ix 2 + ix 4.x 3 – x 2 + ix 5.(x – i) (x + i) (x + 1) (x) 6.Not here

Question 5: What is the polynomial function of i, –1, and 0 1.x 3 + x 2 + x x 4 + x 3 + x 2 + x 3.x 3 – x 2 – ix 2 + ix 4.x 3 – x 2 + ix 5.(x – i) (x + i) (x + 1) (x) 6.Not here

Question 6: Solve x 4 – 2x 3 + 6x 2 – 18x – 27 and determine which of the following is NOT a root –1 3.3i 4.–3i 5.√3 6.All of the above are roots

Question 6: Solve x 4 – 2x 3 + 6x 2 – 18x – 27 and determine which of the following is NOT a root –1 3.3i 4.–3i 5.√3 6.All of the above are roots

Question 7: What statement below is true about this graph? 1.There are only two zeros on the graph 2.When x  –∞, f(x)  +∞ 3.A zero on the graph is 2 4.When x  ∞, f(x)  –∞ 5.This graph is not continuous 6.The minimum highest degree is 3

Question 7: What statement below is true about this graph? 1.There are only two zeros on the graph 2.When x  –∞, f(x)  +∞ 3.A zero on the graph is 2 4.When x  ∞, f(x)  –∞ 5.This graph is not continuous 6.The minimum highest degree is 3

Question 8: Which of the answers below is not a rational zero of 4x 4 – 12x ? 1.–9/2 2.–3/ /4 6.Not here

Question 8: Which of the answers below is not a rational zero of 4x 4 – 12x ? 1.–9/2 2.–3/ /4 6.Not here

Question 9: Multiply (y – 3)(y 2 – 6y – 9) 1.y y – 9 2.y 3 – 3y 2 + 3y y 3 + 9y y y 3 – 9y 2 + 9y y 3 + 9y 2 – 9y Not here

Question 9: Multiply (y – 3)(y 2 – 6y – 9) 1.y y – 9 2.y 3 – 3y 2 + 3y y 3 + 9y y y 3 – 9y 2 + 9y y 3 + 9y 2 – 9y Not here

Question 10: Multiply (x – 2y) 5 1.x x 4 y + 40x 3 y x 2 y xy y 5 2.x x 4 y – 20x 3 y x 2 y 3 – 10xy 4 + 2y 5 3.x 5 – 10x 4 y + 40x 3 y 2 – 80x 2 y xy 4 – 32y 5 4.x 5 – 10x 4 y + 20x 3 y 2 – 20x 2 y xy 4 – 2y 5 5.x x 4 y + 20x 3 y x 2 y xy 4 + 2y 5 6.Not here

Question 10: Multiply (x – 2y) 5 1.x x 4 y + 40x 3 y x 2 y xy y 5 2.x x 4 y – 20x 3 y x 2 y 3 – 10xy 4 + 2y 5 3.x 5 – 10x 4 y + 40x 3 y 2 – 80x 2 y xy 4 – 32y 5 4.x 5 – 10x 4 y + 20x 3 y 2 – 20x 2 y xy 4 – 2y 5 5.x x 4 y + 20x 3 y x 2 y xy 4 + 2y 5 6.Not here

Question 11: What is the remainder when dividing (x 4 + 4x 3 – 7x – 1) ÷ (x – 3) Not here

Question 11: What is the remainder when dividing (x 4 + 4x 3 – 7x – 1) ÷ (x – 3) Not here