Question

Put the steps in the correct order when multiplying the binomials:  (2x−5)(x+7) . Start with the given expression and end with the simplified trinomial.
A) 2x^2 + 9x - 35
B) (2x - 5) (x + 7)
C) (2x) (x) + (2x) (7) + (-5) (x) + (-5) (7)
D) 2x^2 + 14x - 5x - 35

Answer 1

To multiply the binomials \( (2x - 5)(x + 7) \), the correct order of steps is as follows:

1. **Start with the given expression**:
- B) \( (2x - 5) (x + 7) \)

2. **Expand using the distributive property** (also known as the FOIL method for binomials):
- C) \( (2x) (x) + (2x) (7) + (-5) (x) + (-5) (7) \)

3. **Combine like terms**:
- D) \( 2x^2 + 14x - 5x - 35 \)

4. **Simplify**:
- A) \( 2x^2 + 9x - 35 \)

In order, the steps are: B, C, D, A.