Q1. Factor the perfect square trinomial:

Background

Topic: Factoring Perfect Square Trinomials

This question tests your ability to recognize and factor a trinomial that is a perfect square. Perfect square trinomials have the form or , and can be factored into or respectively.

Key Terms and Formulas

• Perfect Square Trinomial: A trinomial that can be written as the square of a binomial.

• Factoring Formula:

Step-by-Step Guidance

1. Identify the first and last terms: and $49 is and $49.

2. Check the middle term: . For a perfect square trinomial, the middle term should be where and .

3. Calculate : . This matches the middle term, confirming it is a perfect square trinomial.

4. Write the trinomial in the form using and .

Try solving on your own before revealing the answer!