11th grade Solve cubic and quartic equations by factoring worksheet

Solve cubic and quartic equations by factoring

Grade 11 Math Worksheet

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

1. 1.

   Milo groups the terms of x³ + 2x² − 9x − 18 = 0 on a puzzle card. What are all the solutions?
2. 2.

   Noah's robot factors x³ − 5x² − 4x + 20 = 0 by grouping. What are all the solutions?
3. 3.

   Ren solves x³ + 3x² − 16x − 48 = 0 by grouping. What are all the solutions?
4. 4.

   Tala groups x³ − x² − 25x + 25 = 0 in a notebook. What are all the solutions?
5. 5.

   Zee treats x² as one letter to solve x⁴ − 13x² + 36 = 0. What are all the solutions?
6. 6.

   Bo's robot solves x⁴ − 10x² + 9 = 0 as a quadratic in x². What are all the solutions?
7. 7.

   Esme solves x⁴ − 17x² + 16 = 0 on a math club poster. What are all the solutions?
8. 8.

   Jun solves x⁴ − 29x² + 100 = 0 by factoring it like a quadratic. What are all the solutions?
9. 9.

   Kira solves 2x³ − 18x = 0 on a puzzle card. Which list gives every solution?

   • -3 and 3, after dividing by x
   • 0 and 3
   • -3, 0 and 3
   • 0 and 9
10. 10.

    Milo solves 4x³ − 100x = 0 on graph paper. Which list gives every solution?

    • 0 and 5
    • -5, 0 and 5
    • 0 and 25
    • -5 and 5, after dividing by x