What to create	Quiz
Which subject	Mathematics
What age group	Year or Grade 9
What topic	Factoring
Question types	Mixed
Number of questions	10
Number of answers	10
Correct answers	Exactly 1
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Grade 9 Mathematics Quiz: Factoring

Welcome to your factoring quiz! Answer the following questions to the best of your ability. Good luck!

Questions

1. Which of the following expressions can be factored as a difference of squares? A. ( x^2 - 16 )
   B. ( x^2 + 8x + 16 )
   C. ( 3x^2 + 12x + 9 )
   D. ( x^2 - 5x + 6 )
   E. ( x^2 + 4x + 4 )
   F. ( 2x^2 - 18 )
   G. ( 4x^2 - 25 )
   H. ( x^2 + 7 )
   I. ( x^2 - 11x + 30 )
   J. ( x^2 + 10 )

2. Factor the quadratic expression ( x^2 + 7x + 10 ).

3. What is the factored form of the expression ( 4x^2 - 9 )? A. ( (2x + 3)(2x - 3) )
   B. ( (2x + 3)(2x + 3) )
   C. ( (4x + 1)(x - 9) )
   D. ( (4x - 3)(x + 3) )
   E. ( (2x - 3)(2x + 3) )
   F. ( (x - 4)(4x + 1) )
   G. ( (x - 5)(x + 5) )
   H. ( (4x + 3)(x - 1) )
   I. ( (4x - 9)(x + 1) )
   J. ( (x + 3)(x + 1) )

4. Which of the following expressions is a perfect square trinomial? A. ( x^2 + 10x + 25 )
   B. ( x^2 + 6x + 8 )
   C. ( 3x^2 + 12x + 9 )
   D. ( x^2 - 4x + 4 )
   E. ( x^2 + 5x + 6 )
   F. ( x^2 + 2x + 3 )
   G. ( x^2 + x + 1 )
   H. ( 2x^2 + 4x + 2 )
   I. ( x^2 - 9 )
   J. ( x^2 - 12x + 36 )

5. Factor the expression ( 6x^2 + 11x - 35 ).

6. What is the factored form of ( x^2 - 3x - 10 )? A. ( (x + 5)(x - 2) )
   B. ( (x - 5)(x + 2) )
   C. ( (x - 5)(x - 2) )
   D. ( (x + 10)(x - 1) )
   E. ( (x + 2)(x - 5) )
   F. ( (x - 10)(x + 1) )
   G. ( (x - 5)(x + 3) )
   H. ( (x + 5)(x - 1) )
   I. ( (x + 2)(x + 5) )
   J. ( (x - 3)(x + 3) )

7. Determine the factored form of ( 9x^2 - 25 ).

8. Factor the polynomial ( x^3 - 3x^2 - 4x ).

9. Which of the following is the correct factoring for the expression ( x^2 + 12x + 36 )? A. ( (x + 12)(x - 3) )
   B. ( (x + 6)(x + 6) )
   C. ( (x + 3)(x + 9) )
   D. ( (x - 6)(x + 6) )
   E. ( (x + 15)(x - 3) )
   F. ( (x + 4)(x + 9) )
   G. ( (x - 9)(x + 9) )
   H. ( (x + 6)(x - 6) )
   I. ( (x + 10)(x + 2) )
   J. ( (x + 7)(x + 5) )

10. Factor the cubic expression ( x^3 - 5x^2 + 6x ).

Feel free to review your answers before submitting!