Factoring

Factoring

​Factoring Polynomials with Common Monomial Factor

• Factoring polynomials with common monomial factor is the reverse process of multiplying monomial to polynomials.   

• ​a(b + c) = ab + ac

• ​Thus, the factor of ab + ac is a(b+c)

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Multiple Choice

Factor 5x + 10

• 10(x+5)

• 5(x+2)

• 5x(x+5)

• 10(5x+2)

Multiple Choice

Factor 9a³ - 18a + 27

• 9a(a² - 2a + 3)

• 3(3a³ - 6a + 9)

• 3a(3a² - 6 + 9)

• 9(a³ - 2a + 3)

Multiple Choice

Factor 30a + 5ay - 25az

• 5a(6+y-5z)

• 5(6a+ay-5az)

• a(30+5y-25z)

• 5a(6a+y-25z)

​Factoring Special Products

1. Difference of Two Squares

2. ​Sum or Difference of Two Cubes

3. ​Perfect Square Trinomial

​Difference of Two Squares

Multiple Select

Factor x² - 144

• (x+12)(x-12)

• (x+72)(x-72)

• (x-12)(x+12)

• (x-72)(x+72)

Multiple Choice

Factor 36x² - 25

• (6x-5)(6x-5)

• (6x+5)(6x+5)

• (5x+6)(5x-6)

• (6x+5)(6x-5)

Multiple Choice

Factor 4y² - 36y⁶

• (2y+6y³)(2y-6y³)

• (2y+6y²)(2y-6y²)

• 4y²(1-9y⁴)

• 4y²(1+3y²)(1-3y²)

​Sum of Two Cubes

​Difference of Two Cubes

Multiple Choice

Factor x³ + 64

• (x+4)(x²-4x+16)

• (x-4)(x²+4x+16)

• (x+8)(x²-8x+64)

• (x-8)(x²+8x+64)

Multiple Choice

Factor 16z⁵ - 250z² completely.

• (4z+125)(4z-125)

• 2z²(2z²-5) (4z²+10z+25)

• 2z²(2z²+5) (4z²-10z+25)

​Perfect Square Trinomial

Multiple Choice

Factor x² + 10x + 25

• (x+5)²

• (x-5)²

Multiple Choice

Factor x² - 18x + 81

• (x+9)²

• (x-9)²

Multiple Choice

Factor 25x² + 10x + 1

• (5x+1)²

• (5x-1)²