Factoring Patterns

The correct pattern for factoring the difference of cubes, a³ - b³, is:

• (a - b)(a² + ab + b²)

• (a + b)(a² - ab + b²)

• (a - b)(a² - ab + b²)

• (a - b)(a² - ab - b²)

Tags

CCSS.HSA.APR.C.4

If one factor of 56x⁴y³ - 42x²y⁶ is 14x²y³, then the other factor is:

• 4x² - 3y³

• 4x² - 3y²

• 4x²y - 3xy³

• 4x²y - 3xy²

Factor completely: x⁴ - 13x² + 36

• (x² - 6)(x² - 6)

• (x² - 4)(x² - 9)

• (x - 3)(x - 2)(x + 3)(x - 2)

• (x - 3)(x + 2)(x + 3)(x - 2)

Tags

CCSS.HSA.APR.C.4

The factors of 9x³ - x are:

• (3x - 1)(3x + 1)

• x(3x - 1)(3x + 1)

• x(3x - 1)(3x - 1)

• (3x² - 1)(3x + 1)

Tags

CCSS.HSA.APR.C.4

Match each polynomial with the correct label for factoring.

• Sum of Two Squares

• Difference of

  Two Squares

• Sum of

  Two Cubes

• Difference of

  Two Cubes

• GCF Only

Tags

CCSS.HSA.APR.C.4

Match each polynomial to its factored form:

• (x+4)(x-1)

• (x-4)(x-1)

• (x-4)(x+1)

• (x+4)(x+1)

Tags

CCSS.HSF-IF.C.7C

Tags

CCSS.HSA-REI.B.4B

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

Mathematical Equivalence

ON

Tags

CCSS.HSA.APR.C.4

The factors of 1 - 1/x² are:

• (1 - x)(1 + x)

• (1 - 1/x)(1 - 1/x)

• (1 - 1/x)(1 + 1/x)

• (1 - 1/x)²

Tags

CCSS.HSA.APR.C.4