RC 1: Factoring + Simplifying

Which of the following is a factor of the expression x² - 6x + 8

• (x - 2)
• (x + 4)
• (x + 2)
• none of the above 

Factor the following: x²+16x + 64

• (x + 4)(x + 16)
• (x - 8)(x - 8)
• (x + 2)(x + 32)
• (x + 8)(x + 8)

Which of the following is a factor of the expression 3x² - 8x + 4
(hint: find zeros and set answers equal to zero)

• (3x - 4)
• (3x - 2)
• (x + 2)
• none of the above 

Factor completely: 25x²+60x+36

• (25x-6)(x-1)
• (5x-6)(5x-6)
• (5x+6)²
• (25x+4)(x+9)

Factor:
18a²-15a

• 15a(3a-1)
• 3a(6a-1)
• 3(6a-5)
• 3a(6a-5)

The area of a rectangle is  x² + 17x + 42 ft². If its width is x + 3 ft. What is its length?

• (x + 17) ft
• (x + 14) ft
• (x - 14) ft
• (x - 17) ft

A classroom has an area of 3x² + 7x + 2. If the length of the classroom is (3x + 1), what is the width of the classroom?

• 3x + 1
• x + 2
• 3x + 7
• 7x + 2

(4x³-5x²+3x)+(-2x³-x²+6x)

• 2x³-6x²-9x
• 2x³+6x²+9x
• -2x³-6x²+9x
• 2x³-6x²+9x

(3x + 4y - 3z) - (2x - 6y + 7z)

• x + 10y - 10z
• -x +10y - 10z
• x -10y - 10z
• -x -10y - 10z

Find the area of a rectangle with a length of 2x+1 and a width of x-3.

• -3x - 3
• 2x² + 5x - 3
• 2x² - 5x - 3
• 2x² - 5x +3