“What a Character” Of Polynomials
Zeros, Factors, and Forms, oh my!
The End (Behavior) is Neigh
Multiplicity City
The Great Divide
100
This is the largest exponent of a polynomial.
What is the degree?
100
This is the property used to rewrite a polynomial from factored form to standard form.
What is the distributive property?
100
The polynomial f(x)= 4+ 3x – x^2 has this type of leading coefficient and degree.
What is a negative leading coefficient and an even degree?
100
When a<0 , the graph of y=a(x–2)(x+3) faces this direction.
What is downwards?
100
The answer to a division problem is called this.
What is a quotient?
200
These are the degree and leading coefficient of 4x^3+ 2x^2 – x + 12 .
What are 3 (degree) and 4 (leading coefficient)?
200
This property is used to find the x-intercepts of a polynomial when it is in factored form.
What is the zero product property?
200
This is the behavior of f(x)=3x^2-2x+4 as x approaches infinity.
What is positive infinity?
200
The multiplicity of the root x=2 in f(x)=(x+3)^2(x+1)(x-2)^3 is this.
What is 3?
200
This is the missing value from the diagram.
What is 6x?
300
A math expression that consists of variables, exponents, and coefficients. The variable must be in the base of the expressions.
What is a polynomial?
300
This is the polynomial function that has roots (5, 0) and (6, 0) with a leading coefficient of 1.
What is
f(x)=(x–5)(x–6)?
300
This is the behavior of
f(x)= –4(x+3)^3(x–1)^2(x+2)
as x approaches negative infinity.
What is negative infinity?
300
This is the type of multiplicity of the root shown at x= –2.
What is odd?
300
This is the quotient of (x^3–4x–3)÷(x+1) .
What is
x^2-x-3
?
400
The product of two polynomial functions is always this.
What is a polynomial?
400
The degree of f(x)= –4(x+3)^3(x–1)^2(x+2) is this value.
What is 6?
400
This test is used to determine the end behavior of a polynomial.
What is the leading coefficient?
400
The graph of a polynomial bounces off of the x-axis when the multiplicity of the root is this type of number.
What is even?
400
This is the quotient of 27x^3+9x^2–3x–10 divided by
3x–2
.
What is
9x^2+9x+5
?
500
The exponents of a polynomial can only be these types of numbers.
What are positive, whole numbers or zero?
500
These are the coordinates of the points of intersection of f(x)=(x–2)(x+3) and
g(x)=x–2
.
What are
(– 2, 4)
and
(2, 0)
?
500
This is the behavior of
f(x)=(1-x)(3x+3)^2(x–4)^2
as x gets larger and larger in the positive direction.
What is f(x) gets larger and larger in the negative direction?
500
This is the equation of the polynomial that will create this graph.
What is
f(x)=(x+2)(x+1)^2(x-2)?
500
This is
f(x) =x^3–13x–12
written as a product of linear factors.
What is
f(x)=(x+1)(x+3)(x–4)
?