Factor ax^2 + bx + c

Answer Key - Grade 9 Math Worksheet - Challenge Me

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

1. 1.

   Pia takes out −1 first: −2x² + 9x + 18 = −(2x + 3)(x + ▢). It may be negative. What number goes in the box?

   -6
2. 2.

   Ren takes out −1 first: −3x² + 13x + 10 = −(3x + 2)(x + ▢). It may be negative. What number goes in the box?

   -5
3. 3.

   Tala factors 2x² + xy − 15y², which has two letters: 2x² + xy − 15y² = (2x − 5y)(x + ▢y). It may be negative. What number goes in the box?

   3
4. 4.

   Zee factors 3x² − 14xy + 8y², which has two letters: 3x² − 14xy + 8y² = (3x − 2y)(x + ▢y). It may be negative. What number goes in the box?

   -4
5. 5.

   Ari factors 5x² + 13xy − 6y², which has two letters: 5x² + 13xy − 6y² = (5x − 2y)(x + ▢y). It may be negative. What number goes in the box?

   3
6. 6.

   Bo factors 2x² + 13xy + 20y², which has two letters: 2x² + 13xy + 20y² = (2x + 5y)(x + ▢y). It may be negative. What number goes in the box?

   4
7. 7.

   Esme's garden bed is a rectangle of 6x² + 17x + 12 square feet. One side is 2x + 3 feet. When x = 4, how long is the other side, in feet?

   16
8. 8.

   Jun plans a school garden of 10x² + 19x + 6 square feet with one side 5x + 2 feet. When x = 5, how long is the other side, in feet?

   13
9. 9.

   Kira's new vegetable bed covers 6x² + 19x + 10 square feet, and one side is 3x + 2 feet. When x = 4, how many feet long is the other side?

   13
10. 10.

    Luz's flower bed has an area of 12x² + 17x + 6 square feet and one side of 4x + 3 feet. When x = 6, how long is the other side?

    20