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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.

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Presentation on theme: "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."— Presentation transcript:

1 Algebra II Review

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

3 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

4 Question 2: Which of these functions is/are zeros of x 3 + 6x 2 + 9x + 2 1.2 + √3 2.2 – √3 3.– 2 + √3 4.2 5.Choice 1 and 2 6.None given

5 Question 2: Which of these functions is/are zeros of x 3 + 6x 2 + 9x + 2 1.2 + √3 2.2 – √3 3.– 2 + √3 4.2 5.Choice 1 and 2 6.None given

6 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

7 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

8 Question 4: V=lwh 1.2 2.5 3.3 4.–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?

9 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? 1.2 2.5 3.3 4.–4 5.–2 6.Not here

10 Question 5: What is the polynomial function of i, –1, and 0 1.x 3 + x 2 + x + 1 2.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

11 Question 5: What is the polynomial function of i, –1, and 0 1.x 3 + x 2 + x + 1 2.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

12 Question 6: Solve x 4 – 2x 3 + 6x 2 – 18x – 27 and determine which of the following is NOT a root 1.3 2.–1 3.3i 4.–3i 5.√3 6.All of the above are roots

13 Question 6: Solve x 4 – 2x 3 + 6x 2 – 18x – 27 and determine which of the following is NOT a root 1.3 2.–1 3.3i 4.–3i 5.√3 6.All of the above are roots

14 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

15 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

16 Question 8: Which of the answers below is not a rational zero of 4x 4 – 12x 2 + 27? 1.–9/2 2.–3/4 3.27 4.9 5.27/4 6.Not here

17 Question 8: Which of the answers below is not a rational zero of 4x 4 – 12x 2 + 27? 1.–9/2 2.–3/4 3.27 4.9 5.27/4 6.Not here

18 Question 9: Multiply (y – 3)(y 2 – 6y – 9) 1.y 3 + 18y – 9 2.y 3 – 3y 2 + 3y + 27 3.y 3 + 9y 2 + 27y + 27 4.y 3 – 9y 2 + 9y + 27 5.y 3 + 9y 2 – 9y + 27 6.Not here

19 Question 9: Multiply (y – 3)(y 2 – 6y – 9) 1.y 3 + 18y – 9 2.y 3 – 3y 2 + 3y + 27 3.y 3 + 9y 2 + 27y + 27 4.y 3 – 9y 2 + 9y + 27 5.y 3 + 9y 2 – 9y + 27 6.Not here

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

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

22 Question 11: What is the remainder when dividing (x 4 + 4x 3 – 7x – 1) ÷ (x – 3) 1.32 2.26 3.41 4.167 5.148 6.Not here

23 Question 11: What is the remainder when dividing (x 4 + 4x 3 – 7x – 1) ÷ (x – 3) 1.32 2.26 3.41 4.167 5.148 6.Not here

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