Consider the Following Approach to Factoring $$20 x ^ { 2 } + 39 x + 18$$

question 253

Multiple Choice

Consider the following approach to factoring. $$20 x ^ { 2 } + 39 x + 18$$ We need two integers whose sum is 39 and whose product is 360. To help find these integers, let s prime factor 360. $360 = 5 \cdot 2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 5$ Now by grouping these factors in various ways, we find that $2 \cdot 2 \cdot 2 \cdot 3 = 24,3 \cdot 5 = 15$ and $24 + 15 = 39$ So the numbers are 15 and 24, and we can express the middle term of the given trinomial, $39 x$ , as $15 x + 24 x$ . Therefore, we can complete the factoring as follows: $20 x ^ { 2 } + 39 x + 18 = 20 x ^ { 2 } + 15 x + 24 x + 18 = 5 x ( 4 x + 3 ) + 6 ( 4 x + 3 ) = ( 4 x + 3 ) ( 5 x + 6 )$ Factor the trinomial. $20 y ^ { 2 } + 23 y + 6$

• A) (4 y + 3)(8 y + 2)
• B) (4 y \(-\) 3)(5 y \(-\) 2)
• C) (4 y + 3)(5 y + 2)
• D) (4 y \(-\) 3)(5 y + 2)
• E) (6 y + 3)(5 y + 3)

Explain the structure and function of the colon and its segments.

Identify the major glands associated with the digestive system and their functions.

Understand the role of the digestive system in nutrient absorption and waste elimination.

Recognize the use of diagnostic tools in the examination of the gastrointestinal tract.

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Definitions:

Extrinsic Motivation

Motivation driven by external rewards such as money, fame, grades, or praise rather than internal factors like personal satisfaction or enjoyment of the task itself.

Financial Insecurity

A state of being unsure or having anxiety about one's financial future and stability.

Self-Actualization

The process of realizing and fulfilling one's own potential, capacities, and talents as a way of becoming the most that one can be.

Esteem Needs

According to Maslow, these are the fourth level in the hierarchy of needs, involving the desire for self-esteem, strength, competence, and respect from others.