🤓 Factoring Polynomials Review 🤓

Factor x² + 7x + 12

• (x + 2)(x + 10)
• (x + 3)(x + 4)
• (x + 4)(x + 5)
• (x + 4)(x + 6)

Factor
x² + 9x - 36

• (x + 12)(x - 3)
• (x + 9)(x - 4)
• (x - 12)(x + 3)
• (x - 9)(x - 4)

Factor completely:
 3x² + 5x - 12

• (3x + 4)(x-3)
• (3x - 4)(x + 3)
• (3x + 3)(x -4)
• (3x - 3)(x + 4)

Factor out the GCF:
12x + 6

• 6(2x + 1)
• 3(4x + 2)
• 6x(2x + 1)
• 2(6x + 3)

Factor completely.
3x² + 10x - 8

• (3x + 2)(x + 4)
• (7x + 5)(x + 2)
• (3x - 2)(x + 4)
• (7x - 3)(x - 4)

Factor completely: 4b⁵ + 4b³ + 16b²

• 4b³(b⁴ + b² + 4b)

• 4b³(b⁴ + 4b + 5)

• 4(b⁵ +b³ + 4b²)

• 4b²(b³ + b + 4)

What is the first step when factoring polynomials?

• Find the GCF

• List all the terms

• Make the X and fill in the top and bottom

• Multiply a and c

Factor out the GCF:
10x³ - 15x

• x(10x² - 15)
• 5x(2x² - 3)
• 5(2x³ - 3x)
• 5x²(10x - 3)

Factor by grouping: 3x³ - x² + 6x - 2

• (x² + 2)(3x + 1)

•  (x² + 2)(3x - 1)

• (3x³ + 6x)(x² - 2)

• none of the aboe

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)