Factor Polynomials by GCF and Difference of Squares

What is ALWAYS the first step when factoring?

• Look for the GCF

• Write a, b, and c

• Difference of squares

• Group

What is the greatest common factor of the two terms in the expression x⁵y²+x²y⁷z

• x²
• x²y²z
• x²y²
• x⁵y⁷z

Factor
5ab²c¹¹ + 2bc⁵

• bc⁵(5ab²c⁶ + 2b)
• bc⁵(5abc⁶ + 2)
• b²c⁵(5bc⁶ + 2)
• c4(5a²b²c⁷ + 2bc)

Factor
12j²k³ - 20hj

• 4j(3jk³ - 5h)
• 4j(6jk³ - 10h)
• 4j(3jk² - 5h)
• 4j²(24j²k³ - 20h)

what is the greatest common factor of the three terms in the expression
-24m³n⁵p + 24mn⁴p² + 4mn⁵

• 4mn
• 24mn⁴
• 4mn⁴
• 4mn⁴p

Factor
49m³q² - 35mq² - 42m³q⁴p²

• 7mq²(7m²q - 5 - 6m²p²q²)
• 7mq²(7m³q - 5mq - 6m²p²q³)
• 7mq²(7m² - 5 - 6m²p²q²)
• 7mq²(7mq - 5 - 6m²pq²)

Factor 4x²-9

• (4x-9)(4x+9)

• (2x-3)(2x+3)

• 2x-3

• (2x-4.5)(2x+4.5)

Factor x²-25

• ( x + 5 ) ( x - 5 )

• ( x - 5 ) ( x - 5 )

• ( x + 5 ) ( x + 5 )

• Prime

Factor 4x²-16

• (2x-4)(2x+4)

• (4x-4)(4x+4)

• 4(x-2)²

• 4(x-2)(x+2)

Factor completely.

121x² - 49

• ( 11x - 7 ) ²

• ( 11x - 7 ) ( 11x - 7 )

• ( 11x + 7 ) ( 11x - 7 )

• ( 12x + 7 ) ( 12x - 7 )