Factor x^2 + bx + c

Answer Key - Grade 9 Math Worksheet - Challenge Me

Circle the best answer, or write your answer on the line.

1. 1.

   Jun writes x² + 9xy + 18y², which has two letters, as (x + ▢y)(x + ▢y). Write the two numbers like 1, -9. What are they?

   3, 6
2. 2.

   Kira factors x² − 2xy − 24y² as (x + ▢y)(x + ▢y). The numbers may be negative. Type them like 1, -9. What are they?

   -6, 4
3. 3.

   Luz finds the sides of x² + 3xy − 54y²: (x + ▢y)(x + ▢y). Write the two numbers like 1, -9. What are they?

   9, -6
4. 4.

   Milo writes x² − 14xy + 48y² as (x + ▢y)(x + ▢y). Write the two numbers like 1, -9. What are they?

   -6, -8
5. 5.

   Noah knows that (x − 3) is one factor of x² + ▢x − 24. It may be negative. What number goes in the box?

   5
6. 6.

   Ren sees that (x − 5) is one factor of x² + ▢x + 45. It may be negative. What number goes in the box?

   -14
7. 7.

   Zee says only one of these cannot be factored with whole numbers. Which one is it?

   • x² + 5x + 8
   • x² − 7x − 8
   • x² + 6x + 8
   • x² + 2x − 8
8. 8.

   Ari sorts four trinomials into factors and cannot factor. Which one cannot be factored with whole numbers?

   • x² + 5x + 6
   • x² + 5x − 6
   • x² − x − 6
   • x² + 4x − 6
9. 9.

   Bo tests four puzzle cards. Which trinomial cannot be factored with whole numbers?

   • x² − 4x − 12
   • x² + 11x − 12
   • x² + 9x + 12
   • x² + 13x + 12
10. 10.

    Esme finds one trinomial with no whole-number sides. Which one is it?

    • x² − 3x − 10
    • x² − 6x − 10
    • x² + 7x + 10
    • x² + 9x − 10