What is the temperature?
Identify the degree of this monomial:
-5x^2
Degree: 2
Identify the following polynomial from its number of terms:
-9
Monomial
x^2-1 divx-1
x+1
Simplify:
(x-2)(x-2)
x^2-4x+4
Making this list of ___________ __________ zeros will help you figure out what values are in fact the zeros of a polynomial.
Take the factors of the Leading Coefficient and divide them by the factors of the constant
Possible Rational
Identify this polynomial based off of its degree:
2x^2-x+5
Quadratic Polynomial (degree 2)
Identify the degree of this monomial
4
Degree: 0
Identify the following polynomial from its number of terms:
Binomial
2x^3-3x^2+x-6 div(x-2)
2x^2+x+3
Simplify:
(x^2-5x+7)(x-2)
x^3-7x^2+17x-14
This theorem says that if x=a+bi is a root, then x=a-bi is also a root.
Conjugate Roots Theorem
Identify this polynomial based off of its degree:
-5
Constant Polynomial (degree 0)
Identify the degree of this polynomial
-7-x
Degree: 1
Identify the following polynomial from its number of terms:
x^2-3x+1
Trinomial
What is the remainder of:
2x^3-3x^2+x+11 div x-2
17
Simplify:
(x-1)(x-2i)(x+2i)
x^3-x^2+4x-4
This theorem states the remainder of the division
f(x)/(x-a) = f(a)
Remainder Theorem
Identify this polynomial based off of its degree:
1+x+2x^2+3x^3+4x^4
Quartic Polynomial (degree 4)
If a polynomial has 3 turning points, what is the minimal degree this polynomial could be?
Degree: 4
Identify the following polynomial from its number of terms:
-6x+2x^2+x^3-2x^2+4x+4
Trinomial
(x^3-2x+4)
-x^4 +x^3+2x^2-3x+1 div (x^2-2x+1)
(-x^2-x+1)
Find the degree 3 polynomial if the given zeros of that polynomial are:
x=2-sqrt(3)
x=3
x^3-5x^2+5x-1
If
f(a) = 0
Then (x-a) is a factor of f(x)
The Factor Theorem
Identify this polynomial based off of its degree:
(x^2-1)(x-5)
Cubic Polynomial (degree 3)
Identify the degree of this polynomial
-5x-7x^3+4x^2+3x^5
Degree: 5
Identify the following polynomial from its number of terms:
((x-1)(x+1)(x^2-1)(x^2+1))+x^2
Trinomial
(x^6-x^4-1)
5x^4-6x^3-8x^2+12x-4 div (x^2-2)
(5x^2-6x+2)
Find the list of possible rational zeros of:
f(x) = 12x^3+14x^2+10x+8
+-(1, 2, 4, 8, 1/2, 1/3, 2/3, 4/3, 8/3, 1/4, 1/6, 1/12)
The number of solutions to a polynomial equation is exactly equal to the degree
Fundamental Theorem of Algebra
Identify this polynomial based off of its degree:
-2x^7+4x^5-2x^5+2x^7+x^3
Quintic Polynomial (degree 5)