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.(4 points)

Answer 1

To multiply the binomials (2x - 5)(x + 7), you can follow these steps:

1. **Write the expression**: (2x - 5)(x + 7)
2. **Apply the distributive property (FOIL - First, Outer, Inner, Last)**:
- First: \(2x \cdot x = 2x^2\)
- Outer: \(2x \cdot 7 = 14x\)
- Inner: \(-5 \cdot x = -5x\)
- Last: \(-5 \cdot 7 = -35\)

3. **Combine the results**: \(2x^2 + 14x - 5x - 35\)

4. **Simplify the expression by combining like terms**: \(2x^2 + (14x - 5x) - 35 = 2x^2 + 9x - 35\)

So, the final simplified trinomial is:

**Answer**: \(2x^2 + 9x - 35\)