Level 1: Core Concepts Check (Aiming for a Pass - 'S')

1. Identify: In the expression 3x2−2x−5, what are the values of a,b, and c?

2. State the Formula: Write the factorized form of a2−b2.

3. Factorize: x2+7x+10.

4. Factorize: p2−81.

Level 2: Connecting the Dots (Aiming for a Credit - 'C'/'B')

1. Explain: Describe the full method for factorizing 2x2+5x−3.

2. Apply: The area of a rectangle is given by the expression x2+3x−28. Find the binomial expressions for its length and breadth.

3. Factorize completely: 5x2−20. (Hint: Look for a common factor first).

Level 3: Exam Challenge (Aiming for a Distinction - 'A')

Problem-Solving: 

(a) Factorize the expression (3a+1)2−(a−2)

2. (Hint: Treat it as a difference of two squares where the terms are binomials).

(b) Simplify your answer from part (a).