Grade 12 Polynomial Identities Worksheet

Grade 12 Polynomial Identities Worksheet

Read each question carefully and use your knowledge of polynomial identities to solve them. Show all your work for full credit.

1. The difference of squares identity states that a² - b² =  .

2. The sum of cubes identity is a³ + b³ = (a + b)( ).

3. A perfect square trinomial can be factored into the form (a + b)² or  .

4. Which of the following is the correct expansion of (x - 3)²?

5. Factor the expression 4x² - 25y² using a polynomial identity.

6. Expand the expression (2a + 3b)³ using the binomial cube identity. Show all steps.

7. Factor the polynomial x³ - 8y³ completely.

8. The expression (a - b)² is equivalent to a² - b².

9. The identity (a + b)(a² - ab + b²) simplifies to a³ + b³.

Match each polynomial expression with its correct factored form.