Factor out a GCF
Factor: 4x + 10
2(2x + 5)
Factor: x2 + 7x + 10
(x + 2)(x + 5)
Factor: 5x2 + 22x + 8
(5x + 2)(x + 4)
Factor: 3a2 + 12ab2 + 2ab + 8b3
(3a + 2b)(a + 4b2)
(x - 4)2
Factor: 18x2y - 6xy2 + 3xy
3xy(6x - 2y + 1)
Factor: x2 - 8x - 20
(x - 10)(x + 2)
Factor: 12x2 + 40x - 7
(6x - 1)(2x + 7)
Factor: 8x3 + 12x - 10x2 - 15
(2x2 + 3)(4x - 5)
(x + 13)(x - 13)
Solve: 4x2 - 12x = 0
x = 0 and x = 3
Solve: x2 + 5x = 36
x = -9 and x = 4
Solve: -34x + 21 = -8x2
x = 3/4 and x = 7/2
Solve: 6xy + 4x - 15y = 10
x = 5/2 and y = -2/3
Factor: 4x2 - 121y2
(2x - 11y)(2x + 11y)
Solve: 15x2y = -20xy
x = 0, y = 0, x = -4/3
x = 0, x = -3, and x = -7
Solve: 24x3 + 62x2 + 40x = 0
x = 0, x = -4/3, and x = -5/4
Solve: 56xy + 14y = 16x + 4
x = -1/4 and y = 2/7
Solve: 9x2 - 30x + 25 = 0
x = 5/3
A rectangle has a length of 2x + 1 units and a width of x + 5 units. The area of the rectangle is 5 units squared. What are the possible values of x?
x = 0 units or x = -11/2 units
Find two consecutive, positive, odd integers whose product is 195.
13 and 15
A rocket is launched with an initial upward velocity of 67 feet per second from the ground. The equation h = -16t2 + vt + s gives the rocket’s height h at any given time t, where v is the initial upward velocity in feet per second, and s is the initial height of the rocket’s launch. How long is the rocket in the air before it lands on a hilltop 12 feet higher than the launch site?
t = 4 seconds
The volume of a box is 360 units cubed. The length is 9 units more than the height. The width is 8 units less than twice the height. Find the dimensions of the box.
length = 15 units, width = 4 units, and height = 6 units
Factor: 32x5 - 2x
2x(4x2 + 1)(2x + 1)(2x - 1)