Polynomial Operations and Factoring Review

Find the difference. 
(3- 2x + 2x²) - (4x -5 +3x²)

• x_² + 6x + 8
• 2x² + 5x - 7
• -x² -6x + 8
• -2x² + 11x - 4

Find the sum.
(2x² + 5x - 7) + ( 3 - 4x² + 6x)

• 2x² + 3x +1
• -2x² - 11x -4
• 2x² + 5x -7
• -2x² + 11x -4

Simplify the expression.
-3x²( 7x² - x + 4)

• -21x⁴ + 3x³ -12x²
• 7x² - x + 4 (-3x²)
• 21x⁴ + 3x³ + 12x²
• -12x² + 3x³ -21x⁴

Find the product:

(x + 7)²

• x² + 7x + 7x + 49

• x² + 7x + 7

• x² + 49

• x² + 14x + 49

Multiply.
(b+3)(b²+2b+1)

• b³+6b²+6b+3

• b³+5b²+7b+3

• 4b³+8b²+3b

• 3b³+6b²+3b

Find the perimeter of the rectangle

• P= 10x + 2

• P= 12x

• P = 5x + 1

• P = 6x² + 3x

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

• 4mn
• 24mn⁴
• 4mn⁴
• 4mn⁴p

Factor
18a²b⁴c + 24ab³c²

• 6ab³c(3ab + 4c)
• 3abc(6ab³ + 8b²c)
• 6abc(3ab³ + 4c)
• 6ab3c(3b + 4c)

Factor
49m³q² - 35mq² - 42m³q⁴p²

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