Question

one of the factors of \\(g^2 - 28g + 196\\) is

• \\(g - 7\\)
• \\(g - 14\\)
• \\(g + 14\\)
• \\(g + 7\\)

question 2 (multiple choice worth 1 points)
(02.01r)

factor completely \\(50a^2b^5 - 35a^4b^3 + 5a^3b^4\\).

• \\(5a^2b^3(10b^2 - 7a^2 + ab)\\)
• \\(10b^2 - 7a^2 + ab\\)
• \\(a^2b^3(50b^2 - 35a^2 + 5ab)\\)
• \\(5(10a^2b^5 - 7a^4b^3 + a^3b^4)\\)

Explanation:

Factor the first quadratic expression

$$ g^2 - 28g + 196 = (g - 14)^2 $$

Identify the factor for the first question

$$ \text{One of the factors is } g - 14 $$

Factor the second polynomial expression

$$
LATEXBLOCK0
$$

Answer:

Question 1

• (A) \(g - 7\)
• (B) \(g - 14\) (Correct answer)
• (C) \(g + 14\)
• (D) \(g + 7\)

Question 2

• (A) \(5a^2b^3(10b^2 - 7a^2 + ab)\) (Correct answer)
• (B) \(10b^2 - 7a^2 + ab\)
• (C) \(a^2b^3(50b^2 - 35a^2 + 5ab)\)
• (D) \(5(10a^2b^5 - 7a^4b^3 + a^3b^4)\)