Mid-Unit Factoring Practice

What is ALWAYS the first step when factoring?

• Look for the GCF

• Write a, b, and c

• Difference of squares

• Group

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)

Factor x² – 16.

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

Factor:

x² - 400

• ( x - 200) ( x + 200)

• ( x + 20) ( x + 20)

• Does not factor (prime)

• ( x - 20) ( x + 20)

Factor:

5x² - 45

• 5( x - 3) ( x + 3)

• 5( x + 3) ( x + 3)

• Does not factor (prime)

• ( x - 3) ( x + 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)

Factor: x² - 4x + 4

• (x + 2)²
• (x - 2)²
• (x + 4)²
• (x - 4)²

Factor

x² + 18x + 81

• (x + 9)(x – 9)

• (x + 18)²

• (x + 9)²

• (x + 6)²

Factor

3x² - 75

• 3( x + 5 ) ( x - 5 )

• Does not factor (prime)

• ( x + 5 ) ( x - 5 )

• 3( x - 5 ) ( x - 5 )