8-5 Factoring Trinomials When A = 1

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| By Courtney Frank

Courtney Frank

Community Contributor

Quizzes Created: 45 | Total Attempts: 16,197

Questions: 5 | Attempts: 900 | Updated: Mar 21, 2023

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Questions and Answers

1.

Factor:
- A.
- B.
- C.
- D.
Correct Answer
C.
2.

Which binomial is a factor of ?
- A.
  
  A + 7
- B.
  
  A - 6
- C.
  
  3a + 10
- D.
  
  A - 3
Correct Answer
D. A - 3

Explanation
The binomial "a - 3" is a factor of the given expression. This means that when we divide the given expression by "a - 3", the quotient will be a polynomial.

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3.

The area of a rectangle is given by the trinomial . What are the possible dimensions of the rectangle?
- A.
- B.
- C.
- D.
Correct Answer
A.

Explanation
The possible dimensions of the rectangle are not specified in the question. Therefore, the question is incomplete and it is not possible to determine the possible dimensions of the rectangle.

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4.

Factor:
- A.
  
  (m + 1)(m+13)
- B.
  
  (m + 6) (m + 7)
- C.
  
  (m + 10) (m + 3)
- D.
  
  (m - 6)(m - 7)
Correct Answer
B. (m + 6) (m + 7)

Explanation
The correct answer is (m + 6) (m + 7). This is because when we multiply these two binomials, we use the distributive property to multiply each term in the first binomial by each term in the second binomial. This results in four terms: m * m, m * 7, 6 * m, and 6 * 7. Simplifying these terms, we get m^2 + 7m + 6m + 42, which can be further simplified to m^2 + 13m + 42. Therefore, (m + 6) (m + 7) is the correct answer.

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5.

Which binomial is a factor of ?
- A.
  
  K + 3
- B.
  
  K + 4
- C.
  
  K - 6
- D.
  
  K - 12
Correct Answer
C. K - 6

Explanation
The binomial k - 6 is a factor of the given expression because when we substitute k = 6 into the expression, we get 0 as the result. This means that (k - 6) is a factor of the expression, as it makes the expression equal to zero.

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