Math 1 - Chapter 7.1/7.2 Factoring (GCF/Diff. of Squares)

Organize the expressions in simplest form and factored form.

Simplest Form:​ (a)  

Factored Form:​ (b)  

Polynomials that cannot be factored are called ​ (a)   .

• prime
• special
• gcf
• factors

Factor by using GCF:
8n³ + 2n²

• 2n²(4n-1)
• 2n²(4n + 1)
• n²(8n+2)
• 3n(4n+1)

Factor by using GCF:

39y⁵ + 12y⁴ - 3y³

• 3y(13y⁴ + 4y³ - y²)
• 3y³(13y² + 4y - 1)
• y³(39y² + 12y - 3)

Factor by using GCF:
49m³q² - 35mq² - 42m³q⁴p²

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

• True
• False

Organize these options into perfect square vs non-perfect squares

Groups:

(a) Perfect Squares

,

(b) Not Perfect Squares

• (a-7)(a-7)

• (a+7)(a+7)

• (a-7)(a+7)

• (a-7)

• (p+144)(p-144)

• (p+12)(p-12)

• (p-12)(p-12)

• (p-11)(p+11)

• (4x-5)(x+5)

• (4x+5)(4x+5)

• (2x -5 )(2x - 5)

• (2x-5)(2x+5)