Grade 12 Polynomial Operations Worksheet

Grade 12 Polynomial Operations

Carefully read each question and perform the indicated operations on the polynomials. Simplify your answers completely.

1. Add the following polynomials: (5x³ - 2x² + 7x - 1) + (3x³ + 4x² - 2x + 9)

2. Find the sum of (2y⁴ + 6y² - 3) and (y⁴ - 5y³ + 2y² + 8).

3. Subtract the second polynomial from the first: (8a⁵ - 3a³ + 2a - 10) - (2a⁵ + a⁴ - 5a³ + 6a - 4)

4. Calculate the difference: (7b² - 4b + 1) - (-3b² + 2b - 5)

5. When adding polynomials, we combine   terms.

6. To subtract a polynomial, we add its   to the first polynomial.

7. The degree of the polynomial (x³ + 2x² - 5) + (4x³ - x + 7) is  .

8. Simplify: (3p² + 2p - 4) - (p² - 5p + 1)

9. Given P(x) = 3x³ - 5x + 2 and Q(x) = -x³ + 2x² - 4x + 6. Find P(x) - Q(x).