Polynomials and Factoring Unit Review Vocab

Write 4x³ +2x²-6x in factored form.

• 2x(2x-3)(x+1)

• 4x(2x+3)(x-1)

• 2x(2x+3)(x-1)

• 4x(2x-3)(x+1)

What method should you use to factor the polynomial?

x² - 36

• Factor by Grouping

• Factor out the GCF

• Difference of Squares

• Difference of 2 Cubes

What method should you use to factor the polynomial?

• Factor by Grouping

• Factor out the GCF

• Difference of Squares

• Trinomials (ac,b,T-chart)

What method should you use to factor the polynomial?

• Sum of 2 Cubes

• Factor out the GCF

• Difference of Squares

• Difference of 2 Cubes

Factor: 2n² - 8n³

• 2n²(n - 4n²)

• 2n²(1 - 4n)

• 2n³(10 - 8n²)

• 3n(1 - 4n)

If a = 4x and b = 5, write a SUM of Cubes Problem that would need to then be factored.

Mathematical Equivalence

ON

Factor 4b⁵+4b³+16b²

• 4b³(b⁴+b²+4b)

• 4b³(b⁴+4b+5)

• 4(b⁵+b³+4b²)

• 4b²(b³+b+4)

Match each polynomial with the correct label for factoring.

• Difference of

  Two Squares

• GCF Only

• Difference of

  Two Cubes

• Sum of

  Two Cubes

• Sum of Two Squares

Factor:

2n² - 8n³

• 2n²(n - 4n²)

• 2n²(1 - 4n)

• 2n³(10 - 8n²)

• 3n(1 - 4n)

Factor the Polynomial 2x³ + 5x² + 6x + 15

• (x² + 3) (2x + 5)

• (x² - 3) (2x - 5)

• (2x² - 3) (x - 5)

• (2x² + 3) (x + 5)