Factoring Trinomials: a = 1 (Continued)

Question 1

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

Revolt · Accepted Answer

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

Question 2

What are the factors of x2 – 4x – 5? Check all that apply.x – 5x – 2x – 1x + 1x + 2x + 5

Revolt · Accepted Answer

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Question 3

What side lengths should be used to model a rectangle with an area of x2 + 3x – 10 square units?

Revolt · Accepted Answer

B: x – 2 and x + 5

Question 4

What is the four-term polynomial and factored form of the polynomial?

Revolt · Accepted Answer

C: x2 + 16x – 3x – 48 = (x + 16)(x – 3)

Question 5

Which statement is true of x2 + 8x – 6?

Revolt · Accepted Answer

D: The polynomial is prime.

Question 6

Complete the equation to show two equivalent expressions.

Revolt · Accepted Answer

⇒ 7: 3; ⇒ 3: 80208

Question 7

The trinomial x2 + bx – c has factors of (x + m)(x – n), where m, n, and b are positive. What is the relationship between the values of m and n? Explain.

Revolt · Accepted Answer

Since the trinomial is $x^2 + bx - c$ and its factors are $(x + m)(x - n)$, we know that $m + (-n) = b$ and $m(-n) = -c$. Because $b$ is positive, the sum of $m$ and $-n$ must be positive. This means the positive value, $m$, must have a greater absolute value than the negative value, $n$. Therefore, $m$ must be greater than $n$.

Question 8

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

Revolt · Accepted Answer

PENDING

Question 9

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 10

✔ –28–31

Revolt · Accepted Answer

A: ✔ –28

Factoring Trinomials: a = 1 (Continued) Answers

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