Polynomial Operations and Factoring Review

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:

• 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

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)

49m³q² - 35mq² - 42m³q⁴p²

• 7mq²(7m²q - 5 - 6m²p²q²)

• 7mq²(7m³q - 5mq - 6m²p²q³)

• 7mq²(7m² - 5 - 6m²p²q²)

• 7mq²(7mq - 5 - 6m²pq²)

What are the factors of
25x² - 81?

• (5x - 9)(5x + 9)

• (5x - 9)(5x - 9)

• (5x + 9)(5x + 9)

• Cannot be factored

Factor completely:
 3x² + 5x - 12

• (3x + 4)(x-3)

• (3x - 4)(x + 3)

• (3x + 3)(x -4)

• (3x - 3)(x + 4)

Factor by grouping:
3x³-x²+6x-2

• (x²+2)(3x+1)

•  (x²+2)(3x-1)

• (3x³+6x)(x²-2)

• none of the aboe