Factors and Products
42
1 is neither prime nor _______.
composite
a2 + b2 = c2 ; this theorem is named after him...
Pythagoras
An angle that is less than 90o
Acute
x = -2/5
Factor x2 - 4
(x + 2)(x - 2)
If a number cannot be expressed as a ratio of integers...
It is irrational
The Golden Ratio is named after this famous mathematician...
Who is Fibonacci?
This regular polygon is 6 sided.
Hexagon
For x(x - 1)(x + 3)(x + 1) = 0, how many solutions are there?
4 solutions
x = 0, x = 1, x = -1, and x = -3
Factor:
3x2 - 5x - 2
(3x - 1)(x + 2)
How many integers are between -1.75 and 3.98?
5 integers; -1, 0, 1, 2, and 3
This mathematician/scientist is credited for the invention of calculus
Sir Isaac Newton
Two angles that add up to 180o are called _________ angles.
Supplementary
If sin(30o) = 1/2
And xsin(30o) = 4/5
Then, x =
x = 8/5
x3 - 9x2 + 14x
x(x - 7)(x - 2)
The cube root of 729 is...
9
The exponential constant, e, is named after this famous Swiss mathematician...
Who is Euler?
A regular pentagon has side-length s = 2x + 5. If x = 4, then what is the perimeter?
65 units
The equation x2 + 1 = 0 does not have a real root. It does, however, have a/an _________ root.
Imaginary
This polynomial, when factored, consists of one large square, two congruent rectangles, and a smaller square. When all pieces are put together, it forms an even larger square.
What is a perfect square trinomial?
A famous search engine is named after this number. What is its name, and how big is it?
A googol; 10100
When this mathematician had a nervous breakdown, he declared himself the emperor of Antarctica.
Who is John Nash?
The sum of the interior angles of a heptagon will add up to...
900o
x2 - x - 10 = 0, what is/are the root(s)?
(1 + √41)/2 ; (1 - √41)/2