What is a polynomial?
A polynomial can be classified in two ways
What is by degree and by terms?
This polynomial has zeroes of -3, 4, and 6
(x+3)(x-4)(x-6)
As x gets larger and larger in the positive or negative direction, y gets larger in both directions. This polynomial has an _________ degree and _________ leading coefficient
even
positive
(x^2+x-6)/(x+3)
x-2
Current trend involving two consecutive numbers
6 7
A polynomial is restricted to these type of exponents
What is positive integers/whole numbers?
Third degree polynomials can have how this many solutions
What is 0, 1, 2, 3?
As x gets larger and larger in the positive direction, y gets larger in the negative direction. This polynomial has an _________ degree and _________ leading coefficient
Odd
Negative
(x+8)(/x-3)
1+11/(x-3)
Slang for someone with a lot of charm, charisma or who is low key attractive
Rizz
The lowest point or the highest point in a section of a graph
What is a relative maximum/minimum.
This polynomial has zeroes at -3, 0, and 4. Write this polynomial in standard form.
x^3-x^2-12x
As x gets larger and larger in the positive or negative direction, y gets smaller and smaller in both directions. This polynomial has an _________ degree and _________ leading coefficient
Even
Negative
The polynomial 2x^2+5x+2 has a factor of x+1, what does that tell us?
There will be no remainder when we divide
There is a zero at x=-1
A cubic trinomial with a leading coefficient of -2, and a constant of 20.
-2x^3+__+20
Write a possible equation for a polynomial whose graph has the following horizontal intercepts (-1/2, 0), (0,0) and (3,0)
(2x+1)(x)(x-3)
(x+1/2)(x)(x-3)
As x gets larger and larger in the negative direction, y gets larger and larger in the negative direction. This polynomial has an _________ degree and _________ leading coefficient
Odd
Positive
A polynomial is closed under _____________, _____________, or ______________ and result in a polynomial. It is open be ___________ and for sure be a polynomial.
Addition, Subtraction, Multiplication, Divide
The volume of a box can be modeled by the equation V(x) = (42-2x)(28-2x)(x). Cutting this much from the length and width would destroy the box.
What are 21 and 14units?
A polynomial with 2 repeating roots has a relative __________/__________ at that root.
Maximum/minimum