An algebraic expression where each variable term has a power greater than or equal to zero.
What is a polynomial
100
Satisfies the relationship P(x) = 0
What is a root of a polynomial
100
x^a x^b = x^a+b
What is the product property of powers with equal bases?
100
Solve 3^1/2 * 12^1/2
What is 6?
100
stretches, compressions, reflections and horizontal and vertical translations
What are transformations of the parent reciprocal functions
200
y=x^3+5x^2+6x
- Factor
x(x+2)(x+3)
200
(x^3 - x^2 - 4x + 4) / x - 2
x^2 + x - 2
200
(x^3)^4 = x^12
What is this an example of?
What is the power of a power property?
200
216^(1/3)
Simplify
6
200
Define (f o g)(x) = f(g(x))
What is "f composed of g of x" which is equal to "f of g of x"
300
Expand: (3x - y^2)^4
= 81x^4 - 108x^3 y^2 + 54x^2 y^4 - 12xy^6 + y^8
300
write the polynomial with the given zeros in standard from: 2, 3, i, -i
x^4-5 x^3+7 x^2-5 x+6
300
Simplify sqrt16x^8
What is 4 * x^4
300
sqrt(a^5)
Put in exponential form
a^(5/2)
300
f(x) = 2x
g(x) = 3x - 4
Find (f o g)(x)
What is 6x - 8?
400
2x^2+ 3 + 5x^3 + x - 9x^5 = y
Put in standard form
What is y = -9x^5 + 5x^3 + 2x^2 + x + 3
400
Given a polynomial, there are limited number of roots that satisfy P(x) = 0, but integer roots must be factors of a(sub 0) and rational roots must have the reduced form P/Q where P is an integer factor of a(sub 0) and Q is an integer factor of a(sub n)
What is the rational root theorem?
400
Simplify ^5sqrt32x^y^15
What is 2xy^3?
400
(-8xsqrt(xy))^(2/3)
What is the expression in simplest form?
4xy^(1/3) or 4xcurt(y)
400
(0,0) , (1,1) , (4,2) , (9,3)
What is the key points for y = sqrt(x)?
500
-2x^2 + 6x + 3 = 0
Use the quadratic formula
x = 3/2 + sqrt(15)/2
x = 3/2 - sqrt(15)/2
500
Volume of a box is 2x^3 + 17x^2 + 46x + 40.
The width is x + 2, the height is x + 4, this is the missing length.
What is 2x + 5?
500
Find ^4sqrt-16
What is no solution?
500
16^(-2.5)
Put in simplest form
1/1024
500
(-2,-4) , (-1,-7) , (2,-10) , (7,-13)
Find function for key points.