Factoring
(3x+2)(2x2+5x+3)
6x3 +19x2 +19x+6
The point where a point crosses the Y-axis
What is the Y-Intercept?
Log(5x) = 2
What is x=20 ?
Difference between a constant and a variable
A constant is a fixed value that does not change, while a variable is a symbol that represents an unknown or changeable value
Simplify 3/16 - 3/8 + 1/24
- 7/48
4x2 - 12x + 9
(2x - 3)2
When given an equation, this dictates whether the parabola opens up or down
What is the coefficient of x2 OR a ?
81/3
A mathematical expression made of numbers and variables combined using addition, subtraction, and multiplication, where the exponents of the variables are whole numbers.
What is a polynomial?
Rewrite Using S.N, (6.7 * 10-12 )(8.9 * 1020 )
5.963 * 109
x3 - 27
(x − 3 )(x2 + 3x + 9)
Identify vertex and direction of: y=(x-3)2+2
Vertex: (3,2)
Opens upward
(x2/y3)-2
y6/x4
The process of breaking down a number or algebraic expression into a product of simpler factors
What is Factoring?
1/8 x2 - 10 x greater than 5
g(x) 10 x less than, or equal to 5
Find f(1), f(7), and f(5)
f(1)= 10, f(7)=-(31/80), f(5)=10
x2 - 9 / x2 + 5x + 6
(x - 3)(x + 3) / (x + 2)(x + 3)
FInd the equation of the line passing through (-2,5) and (4,-1)
y=-1x+3
Solve for x: 2x = 32
x=5
The process of taking a binomial or complex number and flipping the sign between its two terms.
What is Conjugating?
Simplify: sqrt(45x4 y2 )
3x2y sqrt(5)
(x + h)2 - x2 / h
2x + h, assuming h does not equal 0
Find the vertex and intercepts of: y=x2−6x+8
X-intercepts: 2,4
Y-intercept: (0,8)
Vertex: (3,-1)
Solve for x: 2x+1=7
x=log2(7)-1
The process of eliminating radical expressions from the denominator of a fraction
What is Rationalizing?
An angle has terminal point:
(−(sqrt3)/2,1/2)
Find the angle in radians between 0 and 2pi
5pi/6