Question

Express the product of (2x+5/2) and (x-1) as a trinomial in simplest form

Answer 1

`\displaystyle 2x^2 + (x)/(2) - (5)/(2)`

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Algebra I

• Terms/Coefficients
• Expand by FOIL (First Outside Inside Last)

Explanation:

Step 1: Define

`\displaystyle (2x + (5)/(2))(x - 1)`

Step 2: Expand

1. [Trinomial] FOIL:
   `\displaystyle 2x^2 - 2x + (5)/(2)x - (5)/(2)`
2. [Trinomial] Combine like terms:
   `\displaystyle 2x^2 + (x)/(2) - (5)/(2)`