Polynomials
State the degree of the polynomial:
4x^7-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)
11
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)
One third of this number reduced by two is equal to twenty-eight.
90
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)
If two fifths of this number are increased by one, the result is three.
5
Simplify:
sqrt5(sqrt15-sqrt3)
5sqrt3 - sqrt15
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:
x^2-3x-40
(x+5)(x-8)
Find four consecutive odd integers such that three times the first is equal to the fourth.
3, 5, 7, 9
Express the solution in interval notation:
0 <= x <= 5
[0,5]
Multiply:
(x-1)(x^4 + x^3 + x^2 + x + 1)
x^5 - 1
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:
x^4 - 3x^3 -4x^2
x^2(x + 1)(x - 4)
Find four consecutive integers such that twice the second increased by the first is seven greater than the sum of the third and fourth.
10, 11, 12, 13
Write the equation of the line through (-2, 8) and (0, 3) in slope-intercept form.
y=-5/2x + 3