Factoring Trinomials: a = 1 (Continued)

Question 1

Which model shows the correct factorization of x2 – x – 2?

Revolt · Accepted Answer

[Image: An algebra tile configuration. 3 tiles are in the ...]

Question 2

What did you include in your response? Check all that apply.

Question 3

Complete the statements to explain how to factor x2 + x – 12 using algebra tiles.

Revolt · Accepted Answer

Identify the values that should be written to complete the X diagram.On the top: On the bottom: On the sides:: –28; Identify the values that should be written to complete the X diagram.On the top: On the bottom: On the sides:: –3; Identify the values that should be written to complete the X diagram.On the top: On the bottom: On the sides:: –7 and 4; Use double grouping to factor the four terms.x2 – 3x – 28 =: (x – 7)(x + 4)

Question 4

–28✔ –31

Revolt · Accepted Answer

✔ –3

Question 5

–14 and 2✔ –7 and 4–4 and 7

Revolt · Accepted Answer

✔ –7 and 4

Question 6

(x – 14)(x + 2)✔ (x – 7)(x + 4)(x + 7)(x – 4)

Revolt · Accepted Answer

✔ (x – 7)(x + 4)

Question 7

Complete the statements to explain how to factor x2 + x – 12 using algebra tiles.

Revolt · Accepted Answer

✔ 1 positive x-tile; Represent the trinomial using 1 positive x2-tile, , and .: 1 positive x-tile; Represent the trinomial using 1 positive x2-tile, , and .: 12 negative unit tiles; Form a rectangle with the tiles, adding zero pairs as needed. How many zero pairs are needed?: three; Drag tiles onto the board to represent each factor. What is the factorization? x2 + x – 12 =: (x – 3)(x + 4)

Question 8

1 positive unit tile1 negative unit tile12 positive unit tiles✔ 12 negative unit tiles

Revolt · Accepted Answer

✔ 12 negative unit tiles

Question 9

noneone✔ three

Revolt · Accepted Answer

✔ three

Question 10

(x + 3)(x + 4)(x + 3)(x – 4)(x – 3)(x – 4)✔ (x – 3)(x + 4)

Revolt · Accepted Answer

✔ (x – 3)(x + 4)

Factoring Trinomials: a = 1 (Continued) Answers

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