Question

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

Answer 1

Answer:

$\displaystyle 2x^2 + \frac{x}{2} - \frac{5}{2}$

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)

Step-by-step explanation:

Step 1: Define

$\displaystyle (2x + \frac{5}{2})(x - 1)$

Step 2: Expand

1. [Trinomial] FOIL:                                                                                             $\displaystyle 2x^2 - 2x + \frac{5}{2}x - \frac{5}{2}$
2. [Trinomial] Combine like terms:                                                                     $\displaystyle 2x^2 + \frac{x}{2} - \frac{5}{2}$