Factorizing Practice

Which of the following is a difference of perfect squares?

• x² - 18
• 4x² + 36 
• 9x² - 100
• x² + 4

Tags

CCSS.HSA.APR.C.4

What are the factors of
25x² - 81?

• (5x - 9)(5x + 9)
• (5x - 9)(5x - 9)
• (5x + 9)(5x + 9)
• Cannot be factored

Tags

CCSS.HSA.APR.C.4

What is the first step when factoring polynomials?

• Find the HCF

• List all the terms

• Make a triangle

• Write the answer

Factor 4b⁵+4b³+16b²

• 4b³(b⁴+b²+4b)

• 4b³(b⁴+4b+5)

• 4(b⁵+b³+4b²)

• 4b²(b³+b+4)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

Factor Completely.  
8x³ - 18x

• 2x(4x²-9)                                    
• (4x²+3)(2x-3)
• 2x(2x+3)(2x-3)
• PRIME

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor completely 12x + 9

• 3(4x + 3)

• x(12+9)

• 3(4x - 3)

• not factorable

   6m² + 16m

• 2(3m² + 8m)
• 2m(3m + 8)
• 2m(3m - 8m)
• not factorable

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor
81m² - 1 

• not factorable
• (m-9)(m+9)
• 9m(9m-1)
• (9m-1)(9m+1)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Which binomials are a difference of two squares?

I. 6a²-25

II. 4x²+16

III. b²-9

IV. 49y²-64

• I only

• III only

• III and IV

• II, III, and IV

Factor Completely:
15x² - 60x

• (x - 4)(x - 15)
• 15(x² - 4x)
• 15x(x - 4)
• Prime

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2