Factorization Questions & Answers: Practice Your Algebra Skills

Sure, here are some factorization questions along with answers:

1. Factorize x^2 + 7x + 10 Answer: (x + 5)(x + 2)

2. Factorize 2x^2 + 6x – 16 Answer: 2(x + 2)(x – 4)

3. Factorize 3x^3 + 27x^2 + 54x Answer: 3x(x + 3)(x + 6)

4. Factorize 4x^2 – 9y^2 Answer: (2x + 3y)(2x – 3y)

5. Factorize x^4 – 16 Answer: (x^2 + 4)(x^2 – 4) = (x^2 + 4)(x + 2)(x – 2)

6. Factorize 2x^3 – 4x^2 – 16x Answer: 2x(x – 4)(x + 2)

7. Factorize 12x^3 – 6x^2 – 30x Answer: 6x(2x + 1)(x – 5)

8. Factorize 2x^2 – 7x – 15 Answer: (2x + 3)(x – 5)

9. Factorize 3x^2 + 12xy + 9y^2 Answer: 3(x + y)^2

10. Factorize x^3 – 8y^3 Answer: (x – 2y)(x^2 + 2xy + 4y^2)