📚 Part 1: Adding and Subtracting Polynomials

Instructions: Combine like terms to simplify each expression. Show your work in the space provided.

1. (3x² + 5x - 2) + (4x² - 3x + 6)

2. (7x³ - 2x² + 4x) - (3x³ + x² - 5x + 1)

3. (2x² + 8x - 3) + (5x² - 4x + 7) - (x² + 2x - 1)

4. What is the result when you subtract (3x² - 5x + 2) from (8x² + x - 4)?

5x² + 6x - 6

5x² - 4x - 2

11x² - 4x - 2

5x² + 6x - 2

🔢 Part 2: Evaluating Polynomials

Instructions: Substitute the given value for x and evaluate each polynomial expression.

5. Evaluate 2x² - 5x + 3 when x = 2

6. Find the value of 3x³ - 4x² + 2x - 1 when x = -1

7. If P(x) = x² + 4x - 7, find P(3)

8. A polynomial function is given by f(x) = -2x² + 6x + 1. What is f(-2)?

Answer: f(-2) = _____________

Instructions: Use the distributive property or FOIL method to multiply the polynomials. Show all steps.

9. (x + 3)(2x - 5)

10. (3x - 4)(x + 2)

11. 2x(x² - 3x + 4)

12. Which expression is equivalent to (x - 2)(x + 6)?

x² + 4x - 12

x² - 4x - 12

x² + 8x - 12

x² - 8x + 12