Random
Factor out the GCF:
4x2y4 - 6x3y2
2x2y2(2y2 - 3x)
Factor the expression x2 - 3x - 54
(x - 9)(x + 6)
Factor the expression:
4h2 - 9g2
(2h - 3g)(2h + 3g)
Solve for x:
x2 - 6x = 0
x = 0, x = 6
Find the dimensions of a rectangle with an area of x2 - 8x - 48
Give a value of "b" that would make the quadratic expression x2 + bx - 36 factorable.
possible answers:
35, -35, 16, -16, 9, -9, 5, -5
Factor the expression:
4m2 - 8m - 32
4(m - 4)(m + 2)
Factor the expression:
36u2 - 60uv + 25v2
(6u - 5v)2
Solve for x:
x2 + 5x - 84 = 0
x = -12, x = 7
A rectangle's length is 6 inches more than its width. If its area is 72 in2, find the dimensions of the rectangle. You must give both your equation and solution.
x2 + 6x = 72
length = 12 inches
width = 6 inches
Factor the expression:
-x + 2(x2 + 4x) - 9
(2x + 9)(x - 1)
Factor the expression:
3y2 - 2y - 8
(3y + 4)(y - 2)
Factor the expression:
9y2 - 81
9(y + 3)(y - 3)
Solve for the variable:
6h2 + 11h = -4
h = -1/2, h = -4/3
A rectangular garden with a length of 8 meters and width of 6 meters is surrounded a walkway of uniform width. If the combined area of the rectangular garden is 80 square meters, find the width of the walkway.
1 meter
Factor the expression:
144x4 + 72x2y2 + 9y4
9(4x2 + y2)2
Factor the expression:
8m2n2 - 26mn + 6
2(4mn - 1)(mn - 3)
Factor the expression:
2x8 - 32y8
2(x4 + 4y4)(x2 + 2y2)(x2 - 2y2)
Solve for the variable:
x(2x - 3) + 6x = -3x2 + 8
x = 1, x = -8/5
Twice the square of an integer is is 12 more than 10 times the integer. Find the integer.
6
Factor the expression:
(x2 - 9)2 - (y2 - 16)2
(x2 + y2 - 25)(x2 - y2 + 7)
Factor the expression:
12x4 - x2y2 - 6y4
(3x2 + 2y2)(4x2 - 3y2)
Factor the expression:
16u4 - 72u2 + 81
(2u - 3)2(2u + 3)2
Solve for the variable:
4(x - 3)2 = 12x - 45
x = 9/2
The function h(t) = -16t2 + 24t + 4 represents the height of a baseball thrown straight up after "t" seconds have passed. At what time(s) will the ball reach a height of 12 feet?
0.5 seconds and 1 second