Factoring Polynomials

A rectangle has an area of 2x² – 19x +45 ft². What are the dimensions of the rectangle?  

• (2x - 9)(x - 5)
• (2x + 9)(x + 5)
• (2x - 5)(x - 9)
• (2x - 5)(x + 9)

What are the factors of
25x² - 81?

• (5x - 9)(5x + 9)
• (5x - 9)(5x - 9)
• (5x + 9)(5x + 9)
• Cannot be factored

Factor completely.
k² -2k - 24

• (k+4)(k-6)
• (k+4)(k+6)
• (k+6)(k-1)
• (k-4)(k+6)

Factor Completely.  
8x³ - 18x

• 2x(4x²-9)                                    
• (4x²+3)(2x-3)
• 2x(2x+3)(2x-3)
• PRIME

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

Factor x²-2x-15

• (x+5)(x-3)
• (x-5)(x-3)
• (x-5)(x+3)
• (x+5)(x+3)

Factor:
2x² + 13x + 15

• (2x + 1)(x + 15)
• (x + 3)(x + 5)
• (2x - 3)(x - 5)
• (2x + 3)(x + 5)

Factor:
2x² -15x + 27

• (2x - 9)(x - 3)
• (2x + 9)(x + 3)
• (2x - 5)(x - 3)
• (x - 9)(x - 3)

Factor:
10x² + 9x - 7

• (5x + 10)(2x - 7)
• (10x + 2)(x - 3)
• (5x + 3)(2x + 1)
• (5x + 7)(2x - 1)