3.3 Factoring Difference of Squares - Lesson Check

What is ALWAYS the first step when factoring?

• Look for the GCF

• Write a, b, and c

• Difference of squares

• Group

Factor

3x² - 75

• 3( x + 5 ) ( x - 5 )

• Does not factor (prime)

• ( x + 5 ) ( x - 5 )

• 3( x - 5 ) ( x - 5 )

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor

m² + 49

• (m + 7) (m - 7)

• (m - 7) (m - 7)

• (m + 7) (m + 7)

• Can't factor using Diff. of Squares

Factor

x² - 25

• ( x + 5 ) ( x - 5 )

• ( x - 5 ) ( x - 5 )

• ( x + 5 ) ( x + 5 )

• Does not factor (prime)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor x² – 16.

• (x + 2)(x – 8)
• (x – 4)(x – 4)
• (x + 4)(x + 4)
• (x + 4)(x – 4)

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor:

x² - 400

• ( x - 200) ( x + 200)

• ( x + 20) ( x + 20)

• Does not factor (prime)

• ( x - 20) ( x + 20)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor:

x² - 100

• ( x - 10) ( x - 10)

• ( x + 10) ( x + 10)

• Does not factor (prime)

• ( x - 10) ( x + 10)

Factor:

5x² - 45

• 5( x - 3) ( x + 3)

• 5( x + 3) ( x + 3)

• Does not factor (prime)

• ( x - 3) ( x + 3)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Which of the following polynomials is a Difference of Two Squares?

• $x^2+4x+3$

• $x^2-9$

• $x^2+16$

• (x - 4) (x + 5)

Tags

CCSS.HSA.SSE.A.2

Which of the following polynomials is a Difference of Two Squares?

• $2x^2+8x+6$

• $3x^2+25$

• $9x^2-25$

• $x\ +100$