Solving Cubic Polynomials by Factoring

Which of the following methods would be best to solve this equation by Factoring?
7x³ + 49x² = 0

• GCF

• X-Chart with Grouping (a > 1)

• Diffefernce of Squares

• Difference of Cubes

• Sum of Cubes

• Simplify and Slide

• Factoring by Grouping

• Difference of Cubes

What are the factoring methods we have learned for factoring polynomials? (check all that apply)

• Factor out a GCF

• Difference of Squares

• Sum or Difference of Cubes

• Factor by Grouping

• Factor Quadratics with X and Simplify and Slide

Identify if the expression can be factored as sum or difference of cubes:

• No

• Yes

• Yes, by factoring the GCF first

• It is a sum of squares

• A

• B

• C

• D

Solve by factoring:

x³ + 3x² - 4x -12 = 0

• 4, -3

• 2, 3, -2

• 2, -3

• -2, -3, 2

Solve by factoring x³ + 9x² + 18x = 0

• 0, -6, -3

• 0, -9, 2

• 0 6, 3

• -6, -3

Solve by factoring: 3x³ + 15x² + 30x = 0

• 3, -3, -2

• 0, -2, -3

• 0, 2, 3

• 0, -6, 1

What are the solutions? (Hint Factor and solve)

• x=0, x=-2 and x=7

• x=2 and x=7

• x=-2 and x=7

• x=0 and x=3 and x= 42

Which of the following is NOT a solution to the function?

• x = -2

• x = -1

• x = 1

• x = 2