Polynomials
State the degree:
4x^7y^9-pix^14+8^99
16
Which segment of a triangle joins a vertex to the midpoint of the opposite side?
median
Factor completely:
x^2(g+h)-17(g+h)x+60(g+h)
(g+h)(x-12)(x-5)
What is the probability that a randomly chosen letter from FEBRUARY is "R"?
1/4
Express the solutions in interval notation:
-4 < x <=5
(-4, 5]
Simplify:
(8x + y)^2
64x^2+16xy+y^2
What is the surface area of a hemisphere of diameter 8 inches?
48pi "in"^2
Simplify:
(x^2- 5x - 14)/(x^2 - 4)-:(x^2-10x+21)/(x-2)
1/(x-3)
How many equally likely outcomes are possible when tossing one coin and two normal dice?
72
List all solutions of:
-abs(x) + 3> 1, x in ZZ
{-1, 0, 1}
Multiply:
(3x-4)(5x+6)
15x^2-2x-24
What is the volume of a cone with a slant height 25 meters and and radius 7 meters?
392pi m^3
Factor completely:
64x3 - 9x
x(8x + 3)(8x - 3)
What is the probability that the sum of two tossed dice will be 7?
1/6
Simplify:
(sqrt15-sqrt3)^2
18-6sqrt5
Divide:
(x^2-8x+2)div(x-5)
x-3-13/(x-5)
What is the surface area of a sphere whose volume is
972pi m^3
324pi m^2
Factor completely:
12x^2-91x-40
(12x+5)(x-8)
What is the probability that three tossed coins will all land on heads?
1/8
Express the solutions in interval notation:
x > 0 or x >= 5
(0,oo)
Simplify completely. Answer with no parentheses.
(2x)/(7x^2-13x-2) - 3/(x^2-2x)
(2x^2-21x-3)/(7x^3-13x^2-2x)
A pyramid with a 6 cm by 6 cm square base has a surface area of 96 cm2. What is its volume?
48 cm3
Factor completely:
- 17x^3 - 4x^2 +15x^4
x^2(5x + 1)(3x - 4)
What is the probability that the sum of two tossed dice will not be 12 or 2?
17/18
Write the equation of the line through (-2, 8) and (0, 3) in slope-intercept form.
y=-5/2x + 3